106829592 has 64 divisors (see below), whose sum is σ = 272949600. Its totient is φ = 34836480.

The previous prime is 106829579. The next prime is 106829599. The reversal of 106829592 is 295928601.

It is a super-2 number, since 2×106829592² = 22825123453772928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106829599) 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 15 ways as a sum of consecutive naturals, for example, 253542 + ... + 253962.

Almost surely, 2^106829592 is an apocalyptic number.

106829592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106829592 is an abundant number, since it is smaller than the sum of its proper divisors (166120008).

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

106829592 is a wasteful number, since it uses less digits than its factorization.

106829592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 106829592 is about 10335.8401690429. The cubic root of 106829592 is about 474.4937794427.

The spelling of 106829592 in words is "one hundred six million, eight hundred twenty-nine thousand, five hundred ninety-two".