315103434100 has 144 divisors (see below), whose sum is σ = 843677001216. Its totient is φ = 99475200000.

The previous prime is 315103434097. The next prime is 315103434161. The reversal of 315103434100 is 1434301513.

It is a super-2 number, since 2×315103434100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3605925 + ... + 3692275.

It is an arithmetic number, because the mean of its divisors is an integer number (5858868064).

Almost surely, 2^315103434100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315103434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421838500608).

315103434100 is an abundant number, since it is smaller than the sum of its proper divisors (528573567116).

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

315103434100 is a wasteful number, since it uses less digits than its factorization.

315103434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86786 (or 86779 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 315103434100 its reverse (1434301513), we get a palindrome (316537735613).

The spelling of 315103434100 in words is "three hundred fifteen billion, one hundred three million, four hundred thirty-four thousand, one hundred".