105957552 has 80 divisors (see below), whose sum is σ = 284124672. Its totient is φ = 34003200.

The previous prime is 105957521. The next prime is 105957557. The reversal of 105957552 is 255759501.

It is a super-2 number, since 2×105957552² = 22454005651665408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105957552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105957557) 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, 150802 + ... + 151502.

Almost surely, 2^105957552 is an apocalyptic number.

105957552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105957552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142062336).

105957552 is an abundant number, since it is smaller than the sum of its proper divisors (178167120).

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

105957552 is a wasteful number, since it uses less digits than its factorization.

105957552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 39.

The square root of 105957552 is about 10293.5684774523. The cubic root of 105957552 is about 473.1991675995.

The spelling of 105957552 in words is "one hundred five million, nine hundred fifty-seven thousand, five hundred fifty-two".