105538992 has 80 divisors (see below), whose sum is σ = 310917600. Its totient is φ = 30560256.

The previous prime is 105538963. The next prime is 105539029. The reversal of 105538992 is 299835501.

It is a super-2 number, since 2×105538992² = 22276957664752128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5634 + ... + 15582.

It is an arithmetic number, because the mean of its divisors is an integer number (3886470).

Almost surely, 2^105538992 is an apocalyptic number.

105538992 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 105538992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155458800).

105538992 is an abundant number, since it is smaller than the sum of its proper divisors (205378608).

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

105538992 is a wasteful number, since it uses less digits than its factorization.

105538992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 105538992 is about 10273.2172176003. The cubic root of 105538992 is about 472.5752585815.

The spelling of 105538992 in words is "one hundred five million, five hundred thirty-eight thousand, nine hundred ninety-two".