105505248964 has 12 divisors (see below), whose sum is σ = 184878093484. Its totient is φ = 52682936544.

The previous prime is 105505248943. The next prime is 105505248967. The reversal of 105505248964 is 469842505501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43364730564 + 62140518400 = 208242^2 + 249280^2 .

It is a super-2 number, since 2×105505248964² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105505248967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17418579 + ... + 17424634.

Almost surely, 2^105505248964 is an apocalyptic number.

It is an amenable number.

105505248964 is a deficient number, since it is larger than the sum of its proper divisors (79372844520).

105505248964 is a wasteful number, since it uses less digits than its factorization.

105505248964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34843974 (or 34843972 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 105505248964 in words is "one hundred five billion, five hundred five million, two hundred forty-eight thousand, nine hundred sixty-four".