105021524 has 6 divisors (see below), whose sum is σ = 183787674. Its totient is φ = 52510760.

The previous prime is 105021509. The next prime is 105021571. The reversal of 105021524 is 425120501.

It can be written as a sum of positive squares in only one way, i.e., 90060100 + 14961424 = 9490^2 + 3868^2 .

It is a super-2 number, since 2×105021524² = 22059041006565152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105021496 and 105021505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13127687 + ... + 13127694.

It is an arithmetic number, because the mean of its divisors is an integer number (30631279).

Almost surely, 2^105021524 is an apocalyptic number.

It is an amenable number.

105021524 is a deficient number, since it is larger than the sum of its proper divisors (78766150).

105021524 is a wasteful number, since it uses less digits than its factorization.

105021524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26255385 (or 26255383 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105021524 is about 10248.0009758001. Note that the first 3 decimals coincide. The cubic root of 105021524 is about 471.8016319071.

Subtracting from 105021524 its sum of digits (20), we obtain a square (105021504 = 10248²).

The spelling of 105021524 in words is "one hundred five million, twenty-one thousand, five hundred twenty-four".