315564540100 has 36 divisors (see below), whose sum is σ = 701476891668. Its totient is φ = 123147136000.

The previous prime is 315564540073. The next prime is 315564540101. The reversal of 315564540100 is 1045465513.

It can be written as a sum of positive squares in 6 ways, for example, as 62467004356 + 253097535744 = 249934^2 + 503088^2 .

It is not an unprimeable number, because it can be changed into a prime (315564540101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38479381 + ... + 38487580.

It is an arithmetic number, because the mean of its divisors is an integer number (19485469213).

Almost surely, 2^315564540100 is an apocalyptic number.

It is an amenable number.

315564540100 is an abundant number, since it is smaller than the sum of its proper divisors (385912351568).

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

315564540100 is a wasteful number, since it uses less digits than its factorization.

315564540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76967016 (or 76967009 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 315564540100 in words is "three hundred fifteen billion, five hundred sixty-four million, five hundred forty thousand, one hundred".