106225664132 has 144 divisors (see below), whose sum is σ = 229830652800. Its totient is φ = 41960540160.

The previous prime is 106225664123. The next prime is 106225664161. The reversal of 106225664132 is 231466522601.

106225664132 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 2×106225664132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252317282 + ... + 252317702.

It is an arithmetic number, because the mean of its divisors is an integer number (1596046200).

Almost surely, 2^106225664132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106225664132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114915326400).

106225664132 is an abundant number, since it is smaller than the sum of its proper divisors (123604988668).

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

106225664132 is a wasteful number, since it uses less digits than its factorization.

106225664132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 106225664132 in words is "one hundred six billion, two hundred twenty-five million, six hundred sixty-four thousand, one hundred thirty-two".