10146792 has 32 divisors (see below), whose sum is σ = 25574400. Its totient is φ = 3354624.

The previous prime is 10146743. The next prime is 10146793. The reversal of 10146792 is 29764101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10146793) 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 7 ways as a sum of consecutive naturals, for example, 1384 + ... + 4712.

It is an arithmetic number, because the mean of its divisors is an integer number (799200).

Almost surely, 2^10146792 is an apocalyptic number.

10146792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10146792 is an abundant number, since it is smaller than the sum of its proper divisors (15427608).

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

10146792 is a wasteful number, since it uses less digits than its factorization.

10146792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10146792 is about 3185.4029572410. The cubic root of 10146792 is about 216.4925317487.

The spelling of 10146792 in words is "ten million, one hundred forty-six thousand, seven hundred ninety-two".