105011885556704 has 48 divisors (see below), whose sum is σ = 236298918911328. Its totient is φ = 45000869732352.

The previous prime is 105011885556689. The next prime is 105011885556709. The reversal of 105011885556704 is 407655588110501.

It is a super-2 number, since 2×105011885556704² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 105011885556704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011885556709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19607909 + ... + 24382244.

It is an arithmetic number, because the mean of its divisors is an integer number (4922894143986).

Almost surely, 2^{105011885556704} is an apocalyptic number.

105011885556704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105011885556704 is an abundant number, since it is smaller than the sum of its proper divisors (131287033354624).

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

105011885556704 is a wasteful number, since it uses less digits than its factorization.

105011885556704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44000827 (or 44000819 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 56.

The spelling of 105011885556704 in words is "one hundred five trillion, eleven billion, eight hundred eighty-five million, five hundred fifty-six thousand, seven hundred four".