105052521 has 24 divisors (see below), whose sum is σ = 168201984. Its totient is φ = 58091040.

The previous prime is 105052517. The next prime is 105052547. The reversal of 105052521 is 125250501.

It is not a de Polignac number, because 105052521 - 2² = 105052517 is a prime.

It is a super-2 number, since 2×105052521² = 22072064336910882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105052511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6970 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (7008416).

Almost surely, 2^105052521 is an apocalyptic number.

It is an amenable number.

105052521 is a deficient number, since it is larger than the sum of its proper divisors (63149463).

105052521 is a wasteful number, since it uses less digits than its factorization.

105052521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23101 (or 23094 counting only the distinct ones).

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

The square root of 105052521 is about 10249.5132079529. The cubic root of 105052521 is about 471.8480446044.

The spelling of 105052521 in words is "one hundred five million, fifty-two thousand, five hundred twenty-one".