105355621364 has 96 divisors (see below), whose sum is σ = 226218230784. Its totient is φ = 41906995200.

The previous prime is 105355621333. The next prime is 105355621391. The reversal of 105355621364 is 463126553501.

It is a super-2 number, since 2×105355621364² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12351269 + ... + 12359795.

It is an arithmetic number, because the mean of its divisors is an integer number (2356439904).

Almost surely, 2^105355621364 is an apocalyptic number.

105355621364 is a gapful number since it is divisible by the number (14) 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 105355621364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113109115392).

105355621364 is an abundant number, since it is smaller than the sum of its proper divisors (120862609420).

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

105355621364 is a wasteful number, since it uses less digits than its factorization.

105355621364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 105355621364 in words is "one hundred five billion, three hundred fifty-five million, six hundred twenty-one thousand, three hundred sixty-four".