100701315 has 48 divisors (see below), whose sum is σ = 205077600. Its totient is φ = 45066240.

The previous prime is 100701287. The next prime is 100701323. The reversal of 100701315 is 513107001.

It is a happy number.

It is not a de Polignac number, because 100701315 - 2¹⁶ = 100635779 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (4272450).

Almost surely, 2^100701315 is an apocalyptic number.

100701315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100701315 is an abundant number, since it is smaller than the sum of its proper divisors (104376285).

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

100701315 is a wasteful number, since it uses less digits than its factorization.

100701315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15684 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 100701315 is about 10035.0044843039. The cubic root of 100701315 is about 465.2414285652.

Adding to 100701315 its reverse (513107001), we get a palindrome (613808316).

The spelling of 100701315 in words is "one hundred million, seven hundred one thousand, three hundred fifteen".