105147520 has 64 divisors (see below), whose sum is σ = 264628800. Its totient is φ = 39840768.

The previous prime is 105147503. The next prime is 105147529. The reversal of 105147520 is 25741501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105147520² = 22112001924300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105147529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7837 + ... + 16483.

It is an arithmetic number, because the mean of its divisors is an integer number (4134825).

Almost surely, 2^105147520 is an apocalyptic number.

105147520 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 105147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132314400).

105147520 is an abundant number, since it is smaller than the sum of its proper divisors (159481280).

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

105147520 is an equidigital number, since it uses as much as digits as its factorization.

105147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 105147520 is about 10254.1464783764. The cubic root of 105147520 is about 471.9902324896.

The spelling of 105147520 in words is "one hundred five million, one hundred forty-seven thousand, five hundred twenty".