106239066624 has 240 divisors, whose sum is σ = 316686427200. Its totient is φ = 34265161728.

The previous prime is 106239066613. The next prime is 106239066643. The reversal of 106239066624 is 426660932601.

106239066624 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 2×106239066624² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106239066624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21595237 + ... + 21600155.

It is an arithmetic number, because the mean of its divisors is an integer number (1319526780).

Almost surely, 2^106239066624 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 106239066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158343213600).

106239066624 is an abundant number, since it is smaller than the sum of its proper divisors (210447360576).

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

106239066624 is a wasteful number, since it uses less digits than its factorization.

106239066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 106239066624 in words is "one hundred six billion, two hundred thirty-nine million, sixty-six thousand, six hundred twenty-four".