107066764 has 48 divisors (see below), whose sum is σ = 221704000. Its totient is φ = 45214848.

The previous prime is 107066723. The next prime is 107066779. The reversal of 107066764 is 467660701.

It is a super-2 number, since 2×107066764² = 22926583906863392, which contains 22 as substring.

It is an unprimeable number.

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, 99622 + ... + 100690.

Almost surely, 2^107066764 is an apocalyptic number.

107066764 is a gapful number since it is divisible by the number (14) 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 107066764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110852000).

107066764 is an abundant number, since it is smaller than the sum of its proper divisors (114637236).

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

107066764 is a wasteful number, since it uses less digits than its factorization.

107066764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 107066764 is about 10347.3070892866. The cubic root of 107066764 is about 474.8446605622.

The spelling of 107066764 in words is "one hundred seven million, sixty-six thousand, seven hundred sixty-four".