105820992 has 140 divisors (see below), whose sum is σ = 318096900. Its totient is φ = 34781184.

The previous prime is 105820987. The next prime is 105821003. The reversal of 105820992 is 299028501.

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 70963776 = 5904^2 + 8424^2 .

It is a super-2 number, since 2×105820992² = 22396164695728128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 710134 + ... + 710282.

Almost surely, 2^105820992 is an apocalyptic number.

105820992 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 105820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159048450).

105820992 is an abundant number, since it is smaller than the sum of its proper divisors (212275908).

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

105820992 is a wasteful number, since it uses less digits than its factorization.

105820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 105820992 is about 10286.9330706484. The cubic root of 105820992 is about 472.9957910014.

The spelling of 105820992 in words is "one hundred five million, eight hundred twenty thousand, nine hundred ninety-two".