105412520 has 16 divisors (see below), whose sum is σ = 237178260. Its totient is φ = 42164992.

The previous prime is 105412499. The next prime is 105412523. The reversal of 105412520 is 25214501.

It can be written as a sum of positive squares in 2 ways, for example, as 104080804 + 1331716 = 10202^2 + 1154^2 .

It is a super-2 number, since 2×105412520² = 22223598745500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105412492 and 105412501.

It is not an unprimeable number, because it can be changed into a prime (105412523) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1317617 + ... + 1317696.

Almost surely, 2^105412520 is an apocalyptic number.

105412520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105412520 is an abundant number, since it is smaller than the sum of its proper divisors (131765740).

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

105412520 is a wasteful number, since it uses less digits than its factorization.

105412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635324 (or 2635320 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105412520 is about 10267.0599491773. The cubic root of 105412520 is about 472.3864139125.

The spelling of 105412520 in words is "one hundred five million, four hundred twelve thousand, five hundred twenty".