106122504624 has 160 divisors (see below), whose sum is σ = 297019560960. Its totient is φ = 32525316096.

The previous prime is 106122504623. The next prime is 106122504629. The reversal of 106122504624 is 426405221601.

It is a super-2 number, since 2×106122504624² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106122504623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10331139 + ... + 10341405.

It is an arithmetic number, because the mean of its divisors is an integer number (1856372256).

Almost surely, 2^106122504624 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 106122504624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148509780480).

106122504624 is an abundant number, since it is smaller than the sum of its proper divisors (190897056336).

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

106122504624 is a wasteful number, since it uses less digits than its factorization.

106122504624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10587 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 106122504624 in words is "one hundred six billion, one hundred twenty-two million, five hundred four thousand, six hundred twenty-four".