101536815 has 16 divisors (see below), whose sum is σ = 164069856. Its totient is φ = 53616000.

The previous prime is 101536783. The next prime is 101536819. The reversal of 101536815 is 518635101.

It is not a de Polignac number, because 101536815 - 2⁵ = 101536783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101536819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31996 + ... + 35025.

It is an arithmetic number, because the mean of its divisors is an integer number (10254366).

Almost surely, 2^101536815 is an apocalyptic number.

101536815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101536815 is a deficient number, since it is larger than the sum of its proper divisors (62533041).

101536815 is a wasteful number, since it uses less digits than its factorization.

101536815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67130.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 101536815 is about 10076.5477719306. The cubic root of 101536815 is about 466.5245601890.

The spelling of 101536815 in words is "one hundred one million, five hundred thirty-six thousand, eight hundred fifteen".