105153520 has 40 divisors (see below), whose sum is σ = 250452720. Its totient is φ = 41034240.

The previous prime is 105153511. The next prime is 105153553. The reversal of 105153520 is 25351501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105153520² = 22114525536780800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105153491 and 105153500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12750 + ... + 19309.

It is an arithmetic number, because the mean of its divisors is an integer number (6261318).

Almost surely, 2^105153520 is an apocalyptic number.

105153520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105153520 is an abundant number, since it is smaller than the sum of its proper divisors (145299200).

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

105153520 is a wasteful number, since it uses less digits than its factorization.

105153520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32113 (or 32107 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105153520 is about 10254.4390387773. The cubic root of 105153520 is about 471.9992099958. Note that the first 3 decimals are identical.

The spelling of 105153520 in words is "one hundred five million, one hundred fifty-three thousand, five hundred twenty".