105315381673920 has 672 divisors, whose sum is σ = 398456208993024. Its totient is φ = 25319700480000.

The previous prime is 105315381673883. The next prime is 105315381673933. The reversal of 105315381673920 is 29376183513501.

105315381673920 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 538 + 16 + 7 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×105315381673920² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1852713019 + ... + 1852769861.

It is an arithmetic number, because the mean of its divisors is an integer number (592940787192).

Almost surely, 2^{105315381673920} is an apocalyptic number.

105315381673920 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 105315381673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199228104496512).

105315381673920 is an abundant number, since it is smaller than the sum of its proper divisors (293140827319104).

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

105315381673920 is a wasteful number, since it uses less digits than its factorization.

105315381673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57361 (or 57348 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 105315381673920 in words is "one hundred five trillion, three hundred fifteen billion, three hundred eighty-one million, six hundred seventy-three thousand, nine hundred twenty".