105613500 has 96 divisors (see below), whose sum is σ = 310040640. Its totient is φ = 27936000.

The previous prime is 105613489. The next prime is 105613517. The reversal of 105613500 is 5316501.

It is a happy number.

It is a super-2 number, since 2×105613500² = 22308422764500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271306 + ... + 271694.

It is an arithmetic number, because the mean of its divisors is an integer number (3229590).

Almost surely, 2^105613500 is an apocalyptic number.

105613500 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 105613500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020320).

105613500 is an abundant number, since it is smaller than the sum of its proper divisors (204427140).

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

105613500 is a wasteful number, since it uses less digits than its factorization.

105613500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105613500 is about 10276.8429004242. The cubic root of 105613500 is about 472.6864413586.

The spelling of 105613500 in words is "one hundred five million, six hundred thirteen thousand, five hundred".