100516531412516 has 24 divisors (see below), whose sum is σ = 176403671360280. Its totient is φ = 50115484762112.

The previous prime is 100516531412503. The next prime is 100516531412527. The reversal of 100516531412516 is 615214135615001.

It can be written as a sum of positive squares in 4 ways, for example, as 57551128372516 + 42965403040000 = 7586246^2 + 6554800^2 .

It is a super-2 number, since 2×100516531412516² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252120980 + ... + 252519348.

It is an arithmetic number, because the mean of its divisors is an integer number (7350152973345).

Almost surely, 2^{100516531412516} is an apocalyptic number.

It is an amenable number.

100516531412516 is a deficient number, since it is larger than the sum of its proper divisors (75887139947764).

100516531412516 is a wasteful number, since it uses less digits than its factorization.

100516531412516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577423 (or 577421 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 41.

The spelling of 100516531412516 in words is "one hundred trillion, five hundred sixteen billion, five hundred thirty-one million, four hundred twelve thousand, five hundred sixteen".