31077100105 has 24 divisors (see below), whose sum is σ = 38195570952. Its totient is φ = 24271898112.

The previous prime is 31077099983. The next prime is 31077100123. The reversal of 31077100105 is 50100177013.

It can be written as a sum of positive squares in 4 ways, for example, as 3519376 + 31073580729 = 1876^2 + 176277^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31077100105 is a prime.

It is a super-2 number, since 2×31077100105² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31077100105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2530159 + ... + 2542411.

It is an arithmetic number, because the mean of its divisors is an integer number (1591482123).

Almost surely, 2^31077100105 is an apocalyptic number.

It is an amenable number.

31077100105 is a deficient number, since it is larger than the sum of its proper divisors (7118470847).

31077100105 is a wasteful number, since it uses less digits than its factorization.

31077100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 25.

Adding to 31077100105 its reverse (50100177013), we get a palindrome (81177277118).

The spelling of 31077100105 in words is "thirty-one billion, seventy-seven million, one hundred thousand, one hundred five".