106225626624 has 160 divisors (see below), whose sum is σ = 322688409120. Its totient is φ = 30762074112.

The previous prime is 106225626613. The next prime is 106225626659. The reversal of 106225626624 is 426626522601.

It is a super-2 number, since 2×106225626624² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182992 + ... + 495920.

It is an arithmetic number, because the mean of its divisors is an integer number (2016802557).

Almost surely, 2^106225626624 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 106225626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161344204560).

106225626624 is an abundant number, since it is smaller than the sum of its proper divisors (216462782496).

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

106225626624 is a wasteful number, since it uses less digits than its factorization.

106225626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312980 (or 312964 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 106225626624 in words is "one hundred six billion, two hundred twenty-five million, six hundred twenty-six thousand, six hundred twenty-four".