105240513 has 16 divisors (see below), whose sum is σ = 160882560. Its totient is φ = 59943936.

The previous prime is 105240511. The next prime is 105240517. The reversal of 105240513 is 315042501.

It is not a de Polignac number, because 105240513 - 2¹ = 105240511 is a prime.

It is a super-2 number, since 2×105240513² = 22151131153006338, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105240513.

It is not an unprimeable number, because it can be changed into a prime (105240511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (10055160).

Almost surely, 2^105240513 is an apocalyptic number.

It is an amenable number.

105240513 is a deficient number, since it is larger than the sum of its proper divisors (55642047).

105240513 is a wasteful number, since it uses less digits than its factorization.

105240513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105240513 is about 10258.6798858333. The cubic root of 105240513 is about 472.1293350085.

The spelling of 105240513 in words is "one hundred five million, two hundred forty thousand, five hundred thirteen".