105041984400 has 180 divisors, whose sum is σ = 380374071168. Its totient is φ = 26793296640.

The previous prime is 105041984393. The next prime is 105041984417. The reversal of 105041984400 is 4489140501.

105041984400 is a `hidden beast` number, since 10 + 50 + 4 + 198 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105041984400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 551512 + ... + 717111.

Almost surely, 2^105041984400 is an apocalyptic number.

105041984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105041984400 is an abundant number, since it is smaller than the sum of its proper divisors (275332086768).

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

105041984400 is a wasteful number, since it uses less digits than its factorization.

105041984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268670 (or 1268656 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 105041984400 in words is "one hundred five billion, forty-one million, nine hundred eighty-four thousand, four hundred".