106692840 has 48 divisors (see below), whose sum is σ = 346752900. Its totient is φ = 28451328.

The previous prime is 106692823. The next prime is 106692851. The reversal of 106692840 is 48296601.

It can be written as a sum of positive squares in 2 ways, for example, as 106626276 + 66564 = 10326^2 + 258^2 .

It is a super-2 number, since 2×106692840² = 22766724214531200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106692795 and 106692804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147825 + ... + 148544.

Almost surely, 2^106692840 is an apocalyptic number.

106692840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106692840 is an abundant number, since it is smaller than the sum of its proper divisors (240060060).

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

106692840 is a wasteful number, since it uses less digits than its factorization.

106692840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296386 (or 296379 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106692840 is about 10329.2226232181. Note that the first 3 decimals coincide. The cubic root of 106692840 is about 474.2912273240.

The spelling of 106692840 in words is "one hundred six million, six hundred ninety-two thousand, eight hundred forty".