106764840 has 192 divisors, whose sum is σ = 427190400. Its totient is φ = 22519296.

The previous prime is 106764839. The next prime is 106764851. The reversal of 106764840 is 48467601.

106764840 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 648 + 4 + 0 = 666.

It is a super-2 number, since 2×106764840² = 22797462120451200, 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 = 106764795 and 106764804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31131 + ... + 34389.

It is an arithmetic number, because the mean of its divisors is an integer number (2224950).

Almost surely, 2^106764840 is an apocalyptic number.

106764840 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 106764840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213595200).

106764840 is an abundant number, since it is smaller than the sum of its proper divisors (320425560).

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

106764840 is a wasteful number, since it uses less digits than its factorization.

106764840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106764840 is about 10332.7072928638. The cubic root of 106764840 is about 474.3978926810.

The spelling of 106764840 in words is "one hundred six million, seven hundred sixty-four thousand, eight hundred forty".