105464426320 has 320 divisors, whose sum is σ = 296081049600. Its totient is φ = 34485073920.

The previous prime is 105464426293. The next prime is 105464426363. The reversal of 105464426320 is 23624464501.

It is a super-2 number, since 2×105464426320² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105464426320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53452854 + ... + 53454826.

It is an arithmetic number, because the mean of its divisors is an integer number (925253280).

Almost surely, 2^105464426320 is an apocalyptic number.

105464426320 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 105464426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148040524800).

105464426320 is an abundant number, since it is smaller than the sum of its proper divisors (190616623280).

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

105464426320 is a wasteful number, since it uses less digits than its factorization.

105464426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 105464426320 in words is "one hundred five billion, four hundred sixty-four million, four hundred twenty-six thousand, three hundred twenty".