106622904864 has 384 divisors, whose sum is σ = 336114745344. Its totient is φ = 28957824000.

The previous prime is 106622904811. The next prime is 106622904893. The reversal of 106622904864 is 468409226601.

106622904864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106622904864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505321719 + ... + 505321929.

It is an arithmetic number, because the mean of its divisors is an integer number (875298816).

Almost surely, 2^106622904864 is an apocalyptic number.

106622904864 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 106622904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168057372672).

106622904864 is an abundant number, since it is smaller than the sum of its proper divisors (229491840480).

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

106622904864 is a wasteful number, since it uses less digits than its factorization.

106622904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 106622904864 in words is "one hundred six billion, six hundred twenty-two million, nine hundred four thousand, eight hundred sixty-four".