100956 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 32752.

The previous prime is 100943. The next prime is 100957. The reversal of 100956 is 659001.

It is a super-2 number, since 2×100956² = 20384227872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100957) by changing a digit.

100956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰⁰⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

100956 is an abundant number, since it is smaller than the sum of its proper divisors (140964).

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

100956 is a wasteful number, since it uses less digits than its factorization.

100956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 100956 is about 317.7357392551. The cubic root of 100956 is about 46.5633314417.

Adding to 100956 its reverse (659001), we get a palindrome (759957).

It can be divided in two parts, 10095 and 6, that added together give a palindrome (10101).

The spelling of 100956 in words is "one hundred thousand, nine hundred fifty-six".