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106051056 = 24317912343
BaseRepresentation
bin1100101001000…
…11010111110000
321101112221200220
412110203113300
5204122113211
614305013040
72425263516
oct624432760
9241487626
10106051056
1154954801
122b624180
1318c81b07
14101284b6
15949c806
hex65235f0

106051056 has 40 divisors (see below), whose sum is σ = 275518080. Its totient is φ = 35150016.

The previous prime is 106051037. The next prime is 106051061. The reversal of 106051056 is 650150601.

It is a super-2 number, since 2×1060510562 = 22493652957430272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (6887952).

Almost surely, 2106051056 is an apocalyptic number.

106051056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106051056 is an abundant number, since it is smaller than the sum of its proper divisors (169467024).

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

106051056 is a wasteful number, since it uses less digits than its factorization.

106051056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106051056 is about 10298.1093410393. The cubic root of 106051056 is about 473.3383208273.

The spelling of 106051056 in words is "one hundred six million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 12343 24686 37029 49372 74058 98744 148116 197488 296232 592464 2209397 4418794 6628191 8837588 13256382 17675176 26512764 35350352 53025528 106051056