105397560 has 144 divisors (see below), whose sum is σ = 361965240. Its totient is φ = 26593920.

The previous prime is 105397559. The next prime is 105397597. The reversal of 105397560 is 65793501.

It is a happy number.

105397560 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 97 + 560 = 666.

It is a super-2 number, since 2×105397560² = 22217291307907200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129555 + ... + 130365.

Almost surely, 2^105397560 is an apocalyptic number.

105397560 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 105397560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180982620).

105397560 is an abundant number, since it is smaller than the sum of its proper divisors (256567680).

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

105397560 is a wasteful number, since it uses less digits than its factorization.

105397560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 840 counting only the distinct ones).

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

The square root of 105397560 is about 10266.3313798065. The cubic root of 105397560 is about 472.3640660450.

The spelling of 105397560 in words is "one hundred five million, three hundred ninety-seven thousand, five hundred sixty".