105168492 has 144 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 28425600.

The previous prime is 105168487. The next prime is 105168499. The reversal of 105168492 is 294861501.

105168492 is a `hidden beast` number, since 1 + 0 + 5 + 168 + 492 = 666.

It is a super-2 number, since 2×105168492² = 22120823419108128, 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 (105168499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159259 + ... + 159917.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2^105168492 is an apocalyptic number.

105168492 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 105168492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

105168492 is an abundant number, since it is smaller than the sum of its proper divisors (217714068).

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

105168492 is a wasteful number, since it uses less digits than its factorization.

105168492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105168492 is about 10255.1690380998. The cubic root of 105168492 is about 472.0216103770.

The spelling of 105168492 in words is "one hundred five million, one hundred sixty-eight thousand, four hundred ninety-two".