106493431968 has 1728 divisors, whose sum is σ = 445049579520. Its totient is φ = 24388024320.

The previous prime is 106493431927. The next prime is 106493431981. The reversal of 106493431968 is 869134394601.

106493431968 is a `hidden beast` number, since 1 + 0 + 64 + 93 + 431 + 9 + 68 = 666.

It is a super-2 number, since 2×106493431968² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2878200846 + ... + 2878200882.

It is an arithmetic number, because the mean of its divisors is an integer number (257551840).

Almost surely, 2^106493431968 is an apocalyptic number.

106493431968 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 106493431968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222524789760).

106493431968 is an abundant number, since it is smaller than the sum of its proper divisors (338556147552).

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

106493431968 is a wasteful number, since it uses less digits than its factorization.

106493431968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 106493431968 in words is "one hundred six billion, four hundred ninety-three million, four hundred thirty-one thousand, nine hundred sixty-eight".