103536216623631 has 128 divisors (see below), whose sum is σ = 169076361388032. Its totient is φ = 55599409152000.

The previous prime is 103536216623617. The next prime is 103536216623647. The reversal of 103536216623631 is 136326612635301.

It is not a de Polignac number, because 103536216623631 - 2¹⁰ = 103536216622607 is a prime.

It is a super-2 number, since 2×103536216623631² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103536216623531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6829107691 + ... + 6829122851.

It is an arithmetic number, because the mean of its divisors is an integer number (1320909073344).

Almost surely, 2^{103536216623631} is an apocalyptic number.

103536216623631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103536216623631 is a deficient number, since it is larger than the sum of its proper divisors (65540144764401).

103536216623631 is a wasteful number, since it uses less digits than its factorization.

103536216623631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25873.

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 103536216623631 in words is "one hundred three trillion, five hundred thirty-six billion, two hundred sixteen million, six hundred twenty-three thousand, six hundred thirty-one".