315140100 has 288 divisors, whose sum is σ = 1068681600. Its totient is φ = 70963200.

The previous prime is 315140069. The next prime is 315140117. The reversal of 315140100 is 1041513.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 315140100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3540856 + ... + 3540944.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^315140100 is an apocalyptic number.

315140100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

315140100 is an abundant number, since it is smaller than the sum of its proper divisors (753541500).

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

315140100 is a wasteful number, since it uses less digits than its factorization.

315140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 315140100 is about 17752.1857809116. The cubic root of 315140100 is about 680.5100700098.

Adding to 315140100 its reverse (1041513), we get a palindrome (316181613).

The spelling of 315140100 in words is "three hundred fifteen million, one hundred forty thousand, one hundred".