100561616103 has 32 divisors (see below), whose sum is σ = 152043189760. Its totient is φ = 58608800640.

The previous prime is 100561616093. The next prime is 100561616147. The reversal of 100561616103 is 301616165001.

It is not a de Polignac number, because 100561616103 - 2²⁴ = 100544838887 is a prime.

It is a super-2 number, since 2×100561616103² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561612103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582325 + ... + 2620977.

It is an arithmetic number, because the mean of its divisors is an integer number (4751349680).

Almost surely, 2^100561616103 is an apocalyptic number.

100561616103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100561616103 is a deficient number, since it is larger than the sum of its proper divisors (51481573657).

100561616103 is a wasteful number, since it uses less digits than its factorization.

100561616103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42199.

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 100561616103 in words is "one hundred billion, five hundred sixty-one million, six hundred sixteen thousand, one hundred three".