105740992 has 56 divisors (see below), whose sum is σ = 241072416. Its totient is φ = 45078528.

The previous prime is 105740983. The next prime is 105741001. The reversal of 105740992 is 299047501.

It is an interprime number because it is at equal distance from previous prime (105740983) and next prime (105741001).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105740992² = 22362314778288128, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103878 + ... + 104890.

Almost surely, 2^105740992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120536208).

105740992 is an abundant number, since it is smaller than the sum of its proper divisors (135331424).

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

105740992 is a wasteful number, since it uses less digits than its factorization.

105740992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105740992 is about 10283.0439073263. The cubic root of 105740992 is about 472.8765670110.

It can be divided in two parts, 1057409 and 92, that added together give a palindrome (1057501).

The spelling of 105740992 in words is "one hundred five million, seven hundred forty thousand, nine hundred ninety-two".