100401315 has 32 divisors (see below), whose sum is σ = 184052736. Its totient is φ = 45782400.

The previous prime is 100401311. The next prime is 100401359. The reversal of 100401315 is 513104001.

It is not a de Polignac number, because 100401315 - 2² = 100401311 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100401294 and 100401303.

It is not an unprimeable number, because it can be changed into a prime (100401311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51865 + ... + 53765.

It is an arithmetic number, because the mean of its divisors is an integer number (5751648).

Almost surely, 2^100401315 is an apocalyptic number.

100401315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100401315 is a deficient number, since it is larger than the sum of its proper divisors (83651421).

100401315 is a wasteful number, since it uses less digits than its factorization.

100401315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419.

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

The square root of 100401315 is about 10020.0456585786. The cubic root of 100401315 is about 464.7789676767.

Adding to 100401315 its reverse (513104001), we get a palindrome (613505316).

The spelling of 100401315 in words is "one hundred million, four hundred one thousand, three hundred fifteen".