105492672 has 112 divisors (see below), whose sum is σ = 317906400. Its totient is φ = 34283520.

The previous prime is 105492671. The next prime is 105492683. The reversal of 105492672 is 276294501.

105492672 is a `hidden beast` number, since 105 + 492 + 67 + 2 = 666.

It is a super-2 number, since 2×105492672² = 22257407691399168, 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 (105492671) 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, 70104 + ... + 71592.

It is an arithmetic number, because the mean of its divisors is an integer number (2838450).

Almost surely, 2^105492672 is an apocalyptic number.

105492672 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 105492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158953200).

105492672 is an abundant number, since it is smaller than the sum of its proper divisors (212413728).

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

105492672 is a wasteful number, since it uses less digits than its factorization.

105492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105492672 is about 10270.9625644338. The cubic root of 105492672 is about 472.5061122918.

The spelling of 105492672 in words is "one hundred five million, four hundred ninety-two thousand, six hundred seventy-two".