105989752 has 32 divisors (see below), whose sum is σ = 228211200. Its totient is φ = 45640800.

The previous prime is 105989749. The next prime is 105989753. The reversal of 105989752 is 257989501.

It is a super-2 number, since 2×105989752² = 22467655058043008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105989753) 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, 30024 + ... + 33367.

It is an arithmetic number, because the mean of its divisors is an integer number (7131600).

Almost surely, 2^105989752 is an apocalyptic number.

It is an amenable number.

105989752 is an abundant number, since it is smaller than the sum of its proper divisors (122221448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105989752 is a wasteful number, since it uses less digits than its factorization.

105989752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63427 (or 63423 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 46.

The square root of 105989752 is about 10295.1324420815. The cubic root of 105989752 is about 473.2470970759.

The spelling of 105989752 in words is "one hundred five million, nine hundred eighty-nine thousand, seven hundred fifty-two".