105157521 has 32 divisors (see below), whose sum is σ = 180268800. Its totient is φ = 60081264.

The previous prime is 105157519. The next prime is 105157537. The reversal of 105157521 is 125751501.

It is not a de Polignac number, because 105157521 - 2¹ = 105157519 is a prime.

It is a super-2 number, since 2×105157521² = 22116208445730882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105157511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11875 + ... + 18743.

It is an arithmetic number, because the mean of its divisors is an integer number (5633400).

Almost surely, 2^105157521 is an apocalyptic number.

It is an amenable number.

105157521 is a deficient number, since it is larger than the sum of its proper divisors (75111279).

105157521 is an frugal number, since it uses more digits than its factorization.

105157521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 105157521 is about 10254.6341231660. The cubic root of 105157521 is about 472.0051963064.

The spelling of 105157521 in words is "one hundred five million, one hundred fifty-seven thousand, five hundred twenty-one".