106323792 has 80 divisors (see below), whose sum is σ = 284868672. Its totient is φ = 34145280.

The previous prime is 106323787. The next prime is 106323817. The reversal of 106323792 is 297323601.

It is a happy number.

It is a super-2 number, since 2×106323792² = 22609497490518528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232428 + ... + 232884.

Almost surely, 2^106323792 is an apocalyptic number.

106323792 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 106323792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142434336).

106323792 is an abundant number, since it is smaller than the sum of its proper divisors (178544880).

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

106323792 is a wasteful number, since it uses less digits than its factorization.

106323792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106323792 is about 10311.3428805369. The cubic root of 106323792 is about 473.7437415603.

The spelling of 106323792 in words is "one hundred six million, three hundred twenty-three thousand, seven hundred ninety-two".