100516512 has 72 divisors (see below), whose sum is σ = 280367136. Its totient is φ = 31525888.

The previous prime is 100516487. The next prime is 100516553. The reversal of 100516512 is 215615001.

It is a super-2 number, since 2×100516512² = 20207138369292288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25933 + ... + 29555.

It is an arithmetic number, because the mean of its divisors is an integer number (3893988).

Almost surely, 2^100516512 is an apocalyptic number.

100516512 is a gapful number since it is divisible by the number (12) 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 100516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140183568).

100516512 is an abundant number, since it is smaller than the sum of its proper divisors (179850624).

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

100516512 is a wasteful number, since it uses less digits than its factorization.

100516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 100516512 is about 10025.7923377656. The cubic root of 100516512 is about 464.9566568457.

The spelling of 100516512 in words is "one hundred million, five hundred sixteen thousand, five hundred twelve".