105313911761520 has 2160 divisors, whose sum is σ = 462865664701440. Its totient is φ = 20998940497920.

The previous prime is 105313911761491. The next prime is 105313911761557. The reversal of 105313911761520 is 25167119313501.

105313911761520 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 3 + 9 + 1 + 1 + 7 + 615 + 20 = 666.

It is a super-2 number, since 2×105313911761520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 66528054649 + ... + 66528056231.

It is an arithmetic number, because the mean of its divisors is an integer number (214289659584).

Almost surely, 2^{105313911761520} is an apocalyptic number.

105313911761520 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 105313911761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231432832350720).

105313911761520 is an abundant number, since it is smaller than the sum of its proper divisors (357551752939920).

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

105313911761520 is a wasteful number, since it uses less digits than its factorization.

105313911761520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 105313911761520 in words is "one hundred five trillion, three hundred thirteen billion, nine hundred eleven million, seven hundred sixty-one thousand, five hundred twenty".