106334714585232 has 320 divisors, whose sum is σ = 377200211927040. Its totient is φ = 27985820903424.

The previous prime is 106334714585227. The next prime is 106334714585233. The reversal of 106334714585232 is 232585417433601.

106334714585232 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 4 + 71 + 45 + 8 + 523 + 2 = 666.

It is a super-2 number, since 2×106334714585232² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106334714585233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19588578 + ... + 24420929.

It is an arithmetic number, because the mean of its divisors is an integer number (1178750662272).

Almost surely, 2^{106334714585232} is an apocalyptic number.

106334714585232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106334714585232 is an abundant number, since it is smaller than the sum of its proper divisors (270865497341808).

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

106334714585232 is a wasteful number, since it uses less digits than its factorization.

106334714585232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44009595 (or 44009583 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 106334714585232 in words is "one hundred six trillion, three hundred thirty-four billion, seven hundred fourteen million, five hundred eighty-five thousand, two hundred thirty-two".