107465952400 has 135 divisors (see below), whose sum is σ = 265953916011. Its totient is φ = 41730174720.

The previous prime is 107465952389. The next prime is 107465952427. The reversal of 107465952400 is 4259564701.

The square root of 107465952400 is 327820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10201808016 + 97264144384 = 101004^2 + 311872^2 .

It is a Duffinian number.

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, 242586579 + ... + 242587021.

Almost surely, 2^107465952400 is an apocalyptic number.

107465952400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107465952400 is the 327820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107465952400

107465952400 is an abundant number, since it is smaller than the sum of its proper divisors (158487963611).

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

107465952400 is an frugal number, since it uses more digits than its factorization.

107465952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 107465952400 in words is "one hundred seven billion, four hundred sixty-five million, nine hundred fifty-two thousand, four hundred".