105476103654640 has 80 divisors (see below), whose sum is σ = 258512460750720. Its totient is φ = 39912047965440.

The previous prime is 105476103654557. The next prime is 105476103654683. The reversal of 105476103654640 is 46456301674501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105476103654640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49161094 + ... + 51261733.

It is an arithmetic number, because the mean of its divisors is an integer number (3231405759384).

Almost surely, 2^{105476103654640} is an apocalyptic number.

105476103654640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105476103654640 is an abundant number, since it is smaller than the sum of its proper divisors (153036357096080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105476103654640 is a wasteful number, since it uses less digits than its factorization.

105476103654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100423550 (or 100423544 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 105476103654640 in words is "one hundred five trillion, four hundred seventy-six billion, one hundred three million, six hundred fifty-four thousand, six hundred forty".