106064640 has 432 divisors, whose sum is σ = 428553216. Its totient is φ = 24883200.

The previous prime is 106064639. The next prime is 106064701. The reversal of 106064640 is 46460601.

106064640 is a `hidden beast` number, since 10 + 6 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106064640² = 22499415716659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3421425 + ... + 3421455.

Almost surely, 2^106064640 is an apocalyptic number.

106064640 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 106064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

106064640 is an abundant number, since it is smaller than the sum of its proper divisors (322488576).

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

106064640 is an equidigital number, since it uses as much as digits as its factorization.

106064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106064640 is about 10298.7688584607. The cubic root of 106064640 is about 473.3585298144.

The spelling of 106064640 in words is "one hundred six million, sixty-four thousand, six hundred forty".