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103158 = 23211521
BaseRepresentation
bin11001001011110110
312020111200
4121023312
511300113
62113330
7606516
oct311366
9166450
10103158
1170560
124b846
1337c53
1429846
1520873
hex192f6

103158 has 24 divisors (see below), whose sum is σ = 244296. Its totient is φ = 31200.

The previous prime is 103141. The next prime is 103171. The reversal of 103158 is 851301.

It is a happy number.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 103158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (10179).

2103158 is an apocalyptic number.

103158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

103158 is an abundant number, since it is smaller than the sum of its proper divisors (141138).

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

103158 is a wasteful number, since it uses less digits than its factorization.

103158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 103158 is about 321.1821912871. The cubic root of 103158 is about 46.8994379239.

Adding to 103158 its reverse (851301), we get a palindrome (954459).

It can be divided in two parts, 1031 and 58, that added together give a square (1089 = 332).

The spelling of 103158 in words is "one hundred three thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 521 1042 1563 3126 4689 5731 9378 11462 17193 34386 51579 103158