106596656640 has 320 divisors, whose sum is σ = 388883056320. Its totient is φ = 27656847360.

The previous prime is 106596656633. The next prime is 106596656641. The reversal of 106596656640 is 46656695601.

106596656640 is a `hidden beast` number, since 1 + 0 + 6 + 596 + 6 + 5 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106596656640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106596656641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2536600 + ... + 2578280.

It is an arithmetic number, because the mean of its divisors is an integer number (1215259551).

Almost surely, 2^106596656640 is an apocalyptic number.

106596656640 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 106596656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194441528160).

106596656640 is an abundant number, since it is smaller than the sum of its proper divisors (282286399680).

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

106596656640 is an equidigital number, since it uses as much as digits as its factorization.

106596656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41750 (or 41728 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 106596656640 in words is "one hundred six billion, five hundred ninety-six million, six hundred fifty-six thousand, six hundred forty".