106764640 has 48 divisors (see below), whose sum is σ = 256389840. Its totient is φ = 42001920.

The previous prime is 106764601. The next prime is 106764653. The reversal of 106764640 is 46467601.

It is a happy number.

It is a super-2 number, since 2×106764640² = 22797376708659200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106764596 and 106764605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4291 + ... + 15229.

It is an arithmetic number, because the mean of its divisors is an integer number (5341455).

Almost surely, 2^106764640 is an apocalyptic number.

106764640 is a gapful number since it is divisible by the number (10) 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 106764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128194920).

106764640 is an abundant number, since it is smaller than the sum of its proper divisors (149625200).

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

106764640 is a wasteful number, since it uses less digits than its factorization.

106764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11007 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 106764640 is about 10332.6976148535. The cubic root of 106764640 is about 474.3975964548.

The spelling of 106764640 in words is "one hundred six million, seven hundred sixty-four thousand, six hundred forty".