105525964 has 24 divisors (see below), whose sum is σ = 190356768. Its totient is φ = 51154560.

The previous prime is 105525929. The next prime is 105525967. The reversal of 105525964 is 469525501.

It is a super-2 number, since 2×105525964² = 22271458156258592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105525967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25462 + ... + 29314.

It is an arithmetic number, because the mean of its divisors is an integer number (7931532).

Almost surely, 2^105525964 is an apocalyptic number.

It is an amenable number.

105525964 is a deficient number, since it is larger than the sum of its proper divisors (84830804).

105525964 is a wasteful number, since it uses less digits than its factorization.

105525964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 105525964 is about 10272.5831220779. The cubic root of 105525964 is about 472.5558124864. Note that the first 3 decimals are identical.

The spelling of 105525964 in words is "one hundred five million, five hundred twenty-five thousand, nine hundred sixty-four".