106769292 has 48 divisors (see below), whose sum is σ = 285288192. Its totient is φ = 30444480.

The previous prime is 106769287. The next prime is 106769317. The reversal of 106769292 is 292967601.

It is a super-2 number, since 2×106769292² = 22799363428362528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 56442 + ... + 58302.

It is an arithmetic number, because the mean of its divisors is an integer number (5943504).

Almost surely, 2^106769292 is an apocalyptic number.

106769292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106769292 is an abundant number, since it is smaller than the sum of its proper divisors (178518900).

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

106769292 is a wasteful number, since it uses less digits than its factorization.

106769292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 106769292 is about 10332.9227230247. The cubic root of 106769292 is about 474.4044865811.

The spelling of 106769292 in words is "one hundred six million, seven hundred sixty-nine thousand, two hundred ninety-two".