106656915456 has 672 divisors, whose sum is σ = 396392582880. Its totient is φ = 28092137472.

The previous prime is 106656915427. The next prime is 106656915457. The reversal of 106656915456 is 654519656601.

106656915456 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 6 + 91 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106656915456² (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 (106656915457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140893830 + ... + 140894586.

It is an arithmetic number, because the mean of its divisors is an integer number (589869915).

Almost surely, 2^106656915456 is an apocalyptic number.

106656915456 is a gapful number since it is divisible by the number (16) 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 106656915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198196291440).

106656915456 is an abundant number, since it is smaller than the sum of its proper divisors (289735667424).

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

106656915456 is an equidigital number, since it uses as much as digits as its factorization.

106656915456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 106656915456 in words is "one hundred six billion, six hundred fifty-six million, nine hundred fifteen thousand, four hundred fifty-six".