105055084527400 has 96 divisors (see below), whose sum is σ = 279148561920000. Its totient is φ = 36018602968320.

The previous prime is 105055084527377. The next prime is 105055084527403. The reversal of 105055084527400 is 4725480550501.

It is a super-2 number, since 2×105055084527400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055084527403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259636446 + ... + 260040754.

It is an arithmetic number, because the mean of its divisors is an integer number (2907797520000).

Almost surely, 2^{105055084527400} is an apocalyptic number.

105055084527400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055084527400 is an abundant number, since it is smaller than the sum of its proper divisors (174093477392600).

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

105055084527400 is a wasteful number, since it uses less digits than its factorization.

105055084527400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589931 (or 589922 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 46.

The spelling of 105055084527400 in words is "one hundred five trillion, fifty-five billion, eighty-four million, five hundred twenty-seven thousand, four hundred".