105013521 has 6 divisors (see below), whose sum is σ = 151686210. Its totient is φ = 70009008.

The previous prime is 105013507. The next prime is 105013537. The reversal of 105013521 is 125310501.

It can be written as a sum of positive squares in only one way, i.e., 104837121 + 176400 = 10239^2 + 420^2 .

It is not a de Polignac number, because 105013521 - 2¹⁸ = 104751377 is a prime.

It is a super-2 number, since 2×105013521² = 22055679185634882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105013494 and 105013503.

It is not an unprimeable number, because it can be changed into a prime (105013421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5834076 + ... + 5834093.

It is an arithmetic number, because the mean of its divisors is an integer number (25281035).

Almost surely, 2^105013521 is an apocalyptic number.

It is an amenable number.

105013521 is a deficient number, since it is larger than the sum of its proper divisors (46672689).

105013521 is a wasteful number, since it uses less digits than its factorization.

105013521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668175 (or 11668172 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105013521 is about 10247.6105019658. The cubic root of 105013521 is about 471.7896473023.

The spelling of 105013521 in words is "one hundred five million, thirteen thousand, five hundred twenty-one".