100100061105 has 64 divisors (see below), whose sum is σ = 185153713920. Its totient is φ = 45716787200.

The previous prime is 100100061053. The next prime is 100100061119. The reversal of 100100061105 is 501160001001.

It is not a de Polignac number, because 100100061105 - 2⁸ = 100100060849 is a prime.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58932 + ... + 451301.

It is an arithmetic number, because the mean of its divisors is an integer number (2893026780).

Almost surely, 2^100100061105 is an apocalyptic number.

100100061105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100100061105 is a deficient number, since it is larger than the sum of its proper divisors (85053652815).

100100061105 is a wasteful number, since it uses less digits than its factorization.

100100061105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510322.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 100100061105 its reverse (501160001001), we get a palindrome (601260062106).

The spelling of 100100061105 in words is "one hundred billion, one hundred million, sixty-one thousand, one hundred five".