105396103920 has 160 divisors (see below), whose sum is σ = 337559537664. Its totient is φ = 27175449600.

The previous prime is 105396103909. The next prime is 105396104017. The reversal of 105396103920 is 29301693501.

It is a super-2 number, since 2×105396103920² (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, 9599554 + ... + 9610526.

Almost surely, 2^105396103920 is an apocalyptic number.

105396103920 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 105396103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779768832).

105396103920 is an abundant number, since it is smaller than the sum of its proper divisors (232163433744).

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

105396103920 is a wasteful number, since it uses less digits than its factorization.

105396103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The spelling of 105396103920 in words is "one hundred five billion, three hundred ninety-six million, one hundred three thousand, nine hundred twenty".