100956856 has 96 divisors (see below), whose sum is σ = 258839280. Its totient is φ = 36288000.

The previous prime is 100956851. The next prime is 100956857. The reversal of 100956856 is 658659001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100956851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55156 + ... + 56956.

Almost surely, 2^100956856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100956856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129419640).

100956856 is an abundant number, since it is smaller than the sum of its proper divisors (157882424).

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

100956856 is a wasteful number, since it uses less digits than its factorization.

100956856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 100956856 is about 10047.7288976166. The cubic root of 100956856 is about 465.6346304391.

The spelling of 100956856 in words is "one hundred million, nine hundred fifty-six thousand, eight hundred fifty-six".