100789056 has 224 divisors, whose sum is σ = 324794880. Its totient is φ = 30523392.

The previous prime is 100789049. The next prime is 100789063. The reversal of 100789056 is 650987001.

It is an interprime number because it is at equal distance from previous prime (100789049) and next prime (100789063).

It is a super-2 number, since 2×100789056² = 20316867618742272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100789056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380636 + ... + 1380708.

Almost surely, 2^100789056 is an apocalyptic number.

100789056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440).

100789056 is an abundant number, since it is smaller than the sum of its proper divisors (224005824).

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

100789056 is a wasteful number, since it uses less digits than its factorization.

100789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 100789056 is about 10039.3752793687. The cubic root of 100789056 is about 465.3765108734.

The spelling of 100789056 in words is "one hundred million, seven hundred eighty-nine thousand, fifty-six".