96100956 has 108 divisors (see below), whose sum is σ = 285202008. Its totient is φ = 27203904.

The previous prime is 96100943. The next prime is 96100973. The reversal of 96100956 is 65900169.

It is a super-2 number, since 2×96100956² = 18470787488227872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 96100956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276775 + ... + 277121.

Almost surely, 2^96100956 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 96100956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142601004).

96100956 is an abundant number, since it is smaller than the sum of its proper divisors (189101052).

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

96100956 is a wasteful number, since it uses less digits than its factorization.

96100956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 96100956 is about 9803.1095066821. The cubic root of 96100956 is about 458.0461488048.

The spelling of 96100956 in words is "ninety-six million, one hundred thousand, nine hundred fifty-six".