105152520 has 128 divisors (see below), whose sum is σ = 353600640. Its totient is φ = 24791040.

The previous prime is 105152513. The next prime is 105152533. The reversal of 105152520 is 25251501.

It is a super-2 number, since 2×105152520² = 22114104924700800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47764 + ... + 49916.

It is an arithmetic number, because the mean of its divisors is an integer number (2762505).

Almost surely, 2^105152520 is an apocalyptic number.

105152520 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 105152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176800320).

105152520 is an abundant number, since it is smaller than the sum of its proper divisors (248448120).

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

105152520 is a wasteful number, since it uses less digits than its factorization.

105152520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 105152520 is about 10254.3902792901. The cubic root of 105152520 is about 471.9977137685.

The spelling of 105152520 in words is "one hundred five million, one hundred fifty-two thousand, five hundred twenty".