105059023680 has 448 divisors, whose sum is σ = 364999219200. Its totient is φ = 25448816640.

The previous prime is 105059023669. The next prime is 105059023703. The reversal of 105059023680 is 86320950501.

105059023680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105059023680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 292643341 + ... + 292643699.

It is an arithmetic number, because the mean of its divisors is an integer number (814730400).

Almost surely, 2^105059023680 is an apocalyptic number.

105059023680 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 105059023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182499609600).

105059023680 is an abundant number, since it is smaller than the sum of its proper divisors (259940195520).

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

105059023680 is a wasteful number, since it uses less digits than its factorization.

105059023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 105059023680 in words is "one hundred five billion, fifty-nine million, twenty-three thousand, six hundred eighty".