106766840 has 32 divisors (see below), whose sum is σ = 241991280. Its totient is φ = 42392832.

The previous prime is 106766839. The next prime is 106766843. The reversal of 106766840 is 48667601.

It is a super-2 number, since 2×106766840² = 22798316247171200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106766794 and 106766803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4262 + ... + 15221.

Almost surely, 2^106766840 is an apocalyptic number.

106766840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106766840 is an abundant number, since it is smaller than the sum of its proper divisors (135224440).

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

106766840 is a wasteful number, since it uses less digits than its factorization.

106766840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19631 (or 19627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 106766840 is about 10332.8040724675. The cubic root of 106766840 is about 474.4008549229.

The spelling of 106766840 in words is "one hundred six million, seven hundred sixty-six thousand, eight hundred forty".