101923116516 has 81 divisors (see below), whose sum is σ = 279050041179. Its totient is φ = 31353296832.

The previous prime is 101923116437. The next prime is 101923116541. The reversal of 101923116516 is 615611329101.

The square root of 101923116516 is 319254.

It is a perfect power (a square), and thus also a powerful number.

101923116516 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 23 + 116 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21448774116 + 80474342400 = 146454^2 + 283680^2 .

It is a super-2 number, since 2×101923116516² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24899766 + ... + 24903858.

Almost surely, 2^101923116516 is an apocalyptic number.

101923116516 is the 319254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101923116516

101923116516 is an abundant number, since it is smaller than the sum of its proper divisors (177126924663).

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

101923116516 is an equidigital number, since it uses as much as digits as its factorization.

101923116516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8222 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 101923116516 by its sum of digits (36), we get a square (3669232194576 = 1915524²).

101923116516 divided by its sum of digits (36) gives a square (2831197681 = 53209²).

The spelling of 101923116516 in words is "one hundred one billion, nine hundred twenty-three million, one hundred sixteen thousand, five hundred sixteen".