105473860460100 has 288 divisors, whose sum is σ = 379901703484800. Its totient is φ = 24878355033600.

The previous prime is 105473860460093. The next prime is 105473860460113. The reversal of 105473860460100 is 1064068374501.

105473860460100 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 7 + 3 + 86 + 0 + 460 + 100 = 666.

It is a super-2 number, since 2×105473860460100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46891755 + ... + 49089554.

It is an arithmetic number, because the mean of its divisors is an integer number (1319103137100).

Almost surely, 2^{105473860460100} is an apocalyptic number.

105473860460100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105473860460100 is an abundant number, since it is smaller than the sum of its proper divisors (274427843024700).

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

105473860460100 is a wasteful number, since it uses less digits than its factorization.

105473860460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95981380 (or 95981367 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105473860460100 in words is "one hundred five trillion, four hundred seventy-three billion, eight hundred sixty million, four hundred sixty thousand, one hundred".