100515560 has 64 divisors (see below), whose sum is σ = 244069200. Its totient is φ = 37113856.

The previous prime is 100515551. The next prime is 100515581. The reversal of 100515560 is 65515001.

It can be written as a sum of positive squares in 8 ways, for example, as 74891716 + 25623844 = 8654^2 + 5062^2 .

It is a super-2 number, since 2×100515560² = 20206755604227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34646 + ... + 37434.

Almost surely, 2^100515560 is an apocalyptic number.

100515560 is a gapful number since it is divisible by the number (10) 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 100515560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122034600).

100515560 is an abundant number, since it is smaller than the sum of its proper divisors (143553640).

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

100515560 is a wasteful number, since it uses less digits than its factorization.

100515560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 100515560 is about 10025.7448601089. The cubic root of 100515560 is about 464.9551889604.

The spelling of 100515560 in words is "one hundred million, five hundred fifteen thousand, five hundred sixty".