105561792 has 140 divisors (see below), whose sum is σ = 357743760. Its totient is φ = 30150144.

The previous prime is 105561791. The next prime is 105561809. The reversal of 105561792 is 297165501.

105561792 is a `hidden beast` number, since 1 + 0 + 5 + 561 + 7 + 92 = 666.

It is a super-2 number, since 2×105561792² = 22286583860502528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105561791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34834 + ... + 37742.

Almost surely, 2^105561792 is an apocalyptic number.

105561792 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 105561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178871880).

105561792 is an abundant number, since it is smaller than the sum of its proper divisors (252181968).

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

105561792 is an equidigital number, since it uses as much as digits as its factorization.

105561792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 105561792 is about 10274.3268392630. The cubic root of 105561792 is about 472.6092868899.

The spelling of 105561792 in words is "one hundred five million, five hundred sixty-one thousand, seven hundred ninety-two".