105914471400 has 96 divisors (see below), whose sum is σ = 364816531200. Its totient is φ = 28243857600.

The previous prime is 105914471389. The next prime is 105914471441. The reversal of 105914471400 is 4174419501.

105914471400 is a `hidden beast` number, since 10 + 591 + 4 + 47 + 14 + 0 + 0 = 666.

It is a super-2 number, since 2×105914471400² (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 23 ways as a sum of consecutive naturals, for example, 9801496 + ... + 9812295.

It is an arithmetic number, because the mean of its divisors is an integer number (3800172200).

Almost surely, 2^105914471400 is an apocalyptic number.

105914471400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105914471400 is an abundant number, since it is smaller than the sum of its proper divisors (258902059800).

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

105914471400 is a wasteful number, since it uses less digits than its factorization.

105914471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19613816 (or 19613801 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 105914471400 in words is "one hundred five billion, nine hundred fourteen million, four hundred seventy-one thousand, four hundred".