18936512100 has 405 divisors, whose sum is σ = 67961334441. Its totient is φ = 4557643200.

The previous prime is 18936512087. The next prime is 18936512137. The reversal of 18936512100 is 121563981.

The square root of 18936512100 is 137610.

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

18936512100 is a `hidden beast` number, since 1 + 8 + 9 + 36 + 512 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6817144356 + 12119367744 = 82566^2 + 110088^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 134 ways as a sum of consecutive naturals, for example, 136233831 + ... + 136233969.

Almost surely, 2^18936512100 is an apocalyptic number.

18936512100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18936512100 is the 137610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18936512100

18936512100 is an abundant number, since it is smaller than the sum of its proper divisors (49024822341).

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

18936512100 is a wasteful number, since it uses less digits than its factorization.

18936512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 18936512100 by its sum of digits (36), we get a square (681714435600 = 825660²).

18936512100 divided by its sum of digits (36) gives a square (526014225 = 22935²).

The spelling of 18936512100 in words is "eighteen billion, nine hundred thirty-six million, five hundred twelve thousand, one hundred".