105613620 has 72 divisors (see below), whose sum is σ = 344008224. Its totient is φ = 24139584.

The previous prime is 105613603. The next prime is 105613657. The reversal of 105613620 is 26316501.

It is a super-2 number, since 2×105613620² = 22308473459008800, 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 23 ways as a sum of consecutive naturals, for example, 15022 + ... + 20901.

It is an arithmetic number, because the mean of its divisors is an integer number (4777892).

Almost surely, 2^105613620 is an apocalyptic number.

105613620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105613620 is an abundant number, since it is smaller than the sum of its proper divisors (238394604).

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

105613620 is a wasteful number, since it uses less digits than its factorization.

105613620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35949 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105613620 is about 10276.8487387915. The cubic root of 105613620 is about 472.6866203835.

The spelling of 105613620 in words is "one hundred five million, six hundred thirteen thousand, six hundred twenty".