105124560 has 80 divisors (see below), whose sum is σ = 326871936. Its totient is φ = 27948544.

The previous prime is 105124553. The next prime is 105124561. The reversal of 105124560 is 65421501.

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

It is a super-2 number, since 2×105124560² = 22102346230387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105124560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154942 + ... + 155618.

Almost surely, 2^105124560 is an apocalyptic number.

105124560 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 105124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163435968).

105124560 is an abundant number, since it is smaller than the sum of its proper divisors (221747376).

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

105124560 is a wasteful number, since it uses less digits than its factorization.

105124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105124560 is about 10253.0268701491. The cubic root of 105124560 is about 471.9558754117.

The spelling of 105124560 in words is "one hundred five million, one hundred twenty-four thousand, five hundred sixty".