105613520 has 80 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 39217152.

The previous prime is 105613517. The next prime is 105613531. The reversal of 105613520 is 25316501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105613520² = 22308431213580800, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106949 + ... + 107931.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^105613520 is an apocalyptic number.

105613520 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 105613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

105613520 is an abundant number, since it is smaller than the sum of its proper divisors (157941040).

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

105613520 is a wasteful number, since it uses less digits than its factorization.

105613520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105613520 is about 10276.8438734857. The cubic root of 105613520 is about 472.6864711961.

The spelling of 105613520 in words is "one hundred five million, six hundred thirteen thousand, five hundred twenty".