100510056 has 96 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 31449600.

The previous prime is 100510037. The next prime is 100510073. The reversal of 100510056 is 650015001.

100510056 is a `hidden beast` number, since 100 + 510 + 0 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75168900 + 25341156 = 8670^2 + 5034^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76606 + ... + 77906.

Almost surely, 2^100510056 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 100510056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

100510056 is an abundant number, since it is smaller than the sum of its proper divisors (188924544).

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

100510056 is a wasteful number, since it uses less digits than its factorization.

100510056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100510056 is about 10025.4703630304. The cubic root of 100510056 is about 464.9467021813.

Adding to 100510056 its reverse (650015001), we get a palindrome (750525057).

The spelling of 100510056 in words is "one hundred million, five hundred ten thousand, fifty-six".