103407264900 has 243 divisors, whose sum is σ = 337423474479. Its totient is φ = 27505811520.

The previous prime is 103407264887. The next prime is 103407264901. The reversal of 103407264900 is 9462704301.

The square root of 103407264900 is 321570.

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

103407264900 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 7 + 2 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104162436 + 103303102464 = 10206^2 + 321408^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is not an unprimeable number, because it can be changed into a prime (103407264901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 260471502 + ... + 260471898.

Almost surely, 2^103407264900 is an apocalyptic number.

103407264900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103407264900 is the 321570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103407264900

103407264900 is an abundant number, since it is smaller than the sum of its proper divisors (234016209579).

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

103407264900 is an frugal number, since it uses more digits than its factorization.

103407264900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 103407264900 by its sum of digits (36), we get a square (3722661536400 = 1929420²).

103407264900 divided by its sum of digits (36) gives a square (2872424025 = 53595²).

The spelling of 103407264900 in words is "one hundred three billion, four hundred seven million, two hundred sixty-four thousand, nine hundred".