315142100 has 72 divisors (see below), whose sum is σ = 841696128. Its totient is φ = 99734400.

The previous prime is 315142049. The next prime is 315142109. The reversal of 315142100 is 1241513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315142109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8216 + ... + 26415.

It is an arithmetic number, because the mean of its divisors is an integer number (11690224).

Almost surely, 2^315142100 is an apocalyptic number.

It is an amenable number.

315142100 is an abundant number, since it is smaller than the sum of its proper divisors (526554028).

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

315142100 is a wasteful number, since it uses less digits than its factorization.

315142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34665 (or 34658 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 315142100 is about 17752.2421119136. The cubic root of 315142100 is about 680.5115095994.

Adding to 315142100 its reverse (1241513), we get a palindrome (316383613).

The spelling of 315142100 in words is "three hundred fifteen million, one hundred forty-two thousand, one hundred".