100105061105931 has 64 divisors (see below), whose sum is σ = 154238157545472. Its totient is φ = 56569593600000.

The previous prime is 100105061105911. The next prime is 100105061105939. The reversal of 100105061105931 is 139501160501001.

It is not a de Polignac number, because 100105061105931 - 2¹³ = 100105061097739 is a prime.

It is a super-2 number, since 2×100105061105931² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105061105892 and 100105061105901.

It is not an unprimeable number, because it can be changed into a prime (100105061105939) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4107536176 + ... + 4107560546.

It is an arithmetic number, because the mean of its divisors is an integer number (2409971211648).

Almost surely, 2^{100105061105931} is an apocalyptic number.

100105061105931 is a deficient number, since it is larger than the sum of its proper divisors (54133096439541).

100105061105931 is a wasteful number, since it uses less digits than its factorization.

100105061105931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29624.

The product of its (nonzero) digits is 4050, while the sum is 33.

The spelling of 100105061105931 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred five thousand, nine hundred thirty-one".