106692768 has 384 divisors, whose sum is σ = 406425600. Its totient is φ = 26459136.

The previous prime is 106692737. The next prime is 106692787. The reversal of 106692768 is 867296601.

It is a super-2 number, since 2×106692768² = 22766693487003648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808323 + ... + 1808381.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^106692768 is an apocalyptic number.

106692768 is a gapful number since it is divisible by the number (18) 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 106692768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

106692768 is an abundant number, since it is smaller than the sum of its proper divisors (299732832).

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

106692768 is a wasteful number, since it uses less digits than its factorization.

106692768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 106692768 is about 10329.2191379600. The cubic root of 106692768 is about 474.2911206346.

The spelling of 106692768 in words is "one hundred six million, six hundred ninety-two thousand, seven hundred sixty-eight".