106452792 has 40 divisors (see below), whose sum is σ = 298168200. Its totient is φ = 35484048.

The previous prime is 106452781. The next prime is 106452803. The reversal of 106452792 is 297254601.

106452792 is a `hidden beast` number, since 1 + 0 + 645 + 2 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106452781) and next prime (106452803).

It is a super-2 number, since 2×106452792² = 22664393849190528, which contains 22 as substring.

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 81492 + ... + 82787.

It is an arithmetic number, because the mean of its divisors is an integer number (7454205).

Almost surely, 2^106452792 is an apocalyptic number.

106452792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106452792 is an abundant number, since it is smaller than the sum of its proper divisors (191715408).

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

106452792 is a wasteful number, since it uses less digits than its factorization.

106452792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164297 (or 164284 counting only the distinct ones).

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

The square root of 106452792 is about 10317.5962316811. The cubic root of 106452792 is about 473.9352579417.

The spelling of 106452792 in words is "one hundred six million, four hundred fifty-two thousand, seven hundred ninety-two".