106374739968 has 384 divisors, whose sum is σ = 362194560000. Its totient is φ = 30218158080.

The previous prime is 106374739963. The next prime is 106374739981. The reversal of 106374739968 is 869937473601.

106374739968 is a `hidden beast` number, since 10 + 6 + 3 + 7 + 473 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106374739968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106374739963) 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, 77026638 + ... + 77028018.

It is an arithmetic number, because the mean of its divisors is an integer number (943215000).

Almost surely, 2^106374739968 is an apocalyptic number.

106374739968 is a gapful number since it is divisible by the number (18) 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 106374739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181097280000).

106374739968 is an abundant number, since it is smaller than the sum of its proper divisors (255819820032).

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

106374739968 is a wasteful number, since it uses less digits than its factorization.

106374739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 106374739968 in words is "one hundred six billion, three hundred seventy-four million, seven hundred thirty-nine thousand, nine hundred sixty-eight".