106457231664 has 160 divisors (see below), whose sum is σ = 350126400000. Its totient is φ = 30337825536.

The previous prime is 106457231627. The next prime is 106457231687. The reversal of 106457231664 is 466132754601.

106457231664 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 572 + 3 + 16 + 64 = 666.

It is a super-2 number, since 2×106457231664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131087 + ... + 1221585.

It is an arithmetic number, because the mean of its divisors is an integer number (2188290000).

Almost surely, 2^106457231664 is an apocalyptic number.

106457231664 is a gapful number since it is divisible by the number (14) 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 106457231664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175063200000).

106457231664 is an abundant number, since it is smaller than the sum of its proper divisors (243669168336).

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

106457231664 is a wasteful number, since it uses less digits than its factorization.

106457231664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90912 (or 90900 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 106457231664 in words is "one hundred six billion, four hundred fifty-seven million, two hundred thirty-one thousand, six hundred sixty-four".