105553992 has 64 divisors (see below), whose sum is σ = 281825280. Its totient is φ = 32864832.

The previous prime is 105553991. The next prime is 105553999. The reversal of 105553992 is 299355501.

It is a super-2 number, since 2×105553992² = 22283290454272128, 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 105553992.

It is not an unprimeable number, because it can be changed into a prime (105553991) 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, 21513 + ... + 25959.

It is an arithmetic number, because the mean of its divisors is an integer number (4403520).

Almost surely, 2^105553992 is an apocalyptic number.

105553992 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 105553992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140912640).

105553992 is an abundant number, since it is smaller than the sum of its proper divisors (176271288).

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

105553992 is a wasteful number, since it uses less digits than its factorization.

105553992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 105553992 is about 10273.9472453386. The cubic root of 105553992 is about 472.5976461779.

The spelling of 105553992 in words is "one hundred five million, five hundred fifty-three thousand, nine hundred ninety-two".