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103106920 = 23571919381
BaseRepresentation
bin1100010010101…
…00100101101000
321012000101002211
412021110211220
5202343410140
614121534504
72361252160
oct611244550
9235011084
10103106920
1153223834
122a644434
1318490a17
14d99d5a0
1590ba2ea
hex6254968

103106920 has 64 divisors (see below), whose sum is σ = 279100800. Its totient is φ = 33488640.

The previous prime is 103106917. The next prime is 103106933. The reversal of 103106920 is 29601301.

It is a junction number, because it is equal to n+sod(n) for n = 103106891 and 103106900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4371 + ... + 15010.

It is an arithmetic number, because the mean of its divisors is an integer number (4360950).

Almost surely, 2103106920 is an apocalyptic number.

103106920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103106920 is an abundant number, since it is smaller than the sum of its proper divisors (175993880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103106920 is a wasteful number, since it uses less digits than its factorization.

103106920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19418 (or 19414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 103106920 is about 10154.1577691111. The cubic root of 103106920 is about 468.9169569419.

The spelling of 103106920 in words is "one hundred three million, one hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 19381 38762 77524 96905 135667 155048 193810 271334 368239 387620 542668 678335 736478 775240 1085336 1356670 1472956 1841195 2577673 2713340 2945912 3682390 5155346 5426680 7364780 10310692 12888365 14729560 20621384 25776730 51553460 103106920