105913080 has 384 divisors, whose sum is σ = 438721920. Its totient is φ = 21565440.

The previous prime is 105913079. The next prime is 105913097. The reversal of 105913080 is 80319501.

It is a super-2 number, since 2×105913080² = 22435161030172800, which 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 95 ways as a sum of consecutive naturals, for example, 1736250 + ... + 1736310.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^105913080 is an apocalyptic number.

105913080 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 105913080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

105913080 is an abundant number, since it is smaller than the sum of its proper divisors (332808840).

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

105913080 is a wasteful number, since it uses less digits than its factorization.

105913080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105913080 is about 10291.4080669265. The cubic root of 105913080 is about 473.1329553668.

The spelling of 105913080 in words is "one hundred five million, nine hundred thirteen thousand, eighty".