105404167220 has 72 divisors (see below), whose sum is σ = 243551745024. Its totient is φ = 38289240000.

The previous prime is 105404167207. The next prime is 105404167243. The reversal of 105404167220 is 22761404501.

It is a super-2 number, since 2×105404167220² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376245 + ... + 2420195.

Almost surely, 2^105404167220 is an apocalyptic number.

105404167220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105404167220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121775872512).

105404167220 is an abundant number, since it is smaller than the sum of its proper divisors (138147577804).

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

105404167220 is a wasteful number, since it uses less digits than its factorization.

105404167220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44973 (or 44960 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 105404167220 in words is "one hundred five billion, four hundred four million, one hundred sixty-seven thousand, two hundred twenty".