105023442693720 has 128 divisors (see below), whose sum is σ = 332797466327040. Its totient is φ = 26472525649920.

The previous prime is 105023442693713. The next prime is 105023442693779. The reversal of 105023442693720 is 27396244320501.

It is a super-2 number, since 2×105023442693720² (a number of 29 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 105023442693720.

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, 328120369 + ... + 328440288.

It is an arithmetic number, because the mean of its divisors is an integer number (2599980205680).

Almost surely, 2^{105023442693720} is an apocalyptic number.

105023442693720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105023442693720 is an abundant number, since it is smaller than the sum of its proper divisors (227774023633320).

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

105023442693720 is a wasteful number, since it uses less digits than its factorization.

105023442693720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656560745 (or 656560741 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 105023442693720 in words is "one hundred five trillion, twenty-three billion, four hundred forty-two million, six hundred ninety-three thousand, seven hundred twenty".