105379560 has 384 divisors, whose sum is σ = 424569600. Its totient is φ = 22302720.

The previous prime is 105379523. The next prime is 105379577. The reversal of 105379560 is 65973501.

It is a happy number.

It is a super-2 number, since 2×105379560² = 22209703331587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1183996 + ... + 1184084.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^105379560 is an apocalyptic number.

105379560 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 105379560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

105379560 is an abundant number, since it is smaller than the sum of its proper divisors (319190040).

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

105379560 is a wasteful number, since it uses less digits than its factorization.

105379560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 105379560 is about 10265.4546903681. The cubic root of 105379560 is about 472.3371740965.

The spelling of 105379560 in words is "one hundred five million, three hundred seventy-nine thousand, five hundred sixty".