106039422720 has 864 divisors, whose sum is σ = 460725318144. Its totient is φ = 21875097600.

The previous prime is 106039422719. The next prime is 106039422737. The reversal of 106039422720 is 27224930601.

106039422720 is a `hidden beast` number, since 1 + 0 + 603 + 9 + 4 + 2 + 27 + 20 = 666.

It is a super-2 number, since 2×106039422720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153457575 + ... + 153458265.

It is an arithmetic number, because the mean of its divisors is an integer number (533246896).

Almost surely, 2^106039422720 is an apocalyptic number.

106039422720 is a gapful number since it is divisible by the number (10) 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 106039422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230362659072).

106039422720 is an abundant number, since it is smaller than the sum of its proper divisors (354685895424).

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

106039422720 is a wasteful number, since it uses less digits than its factorization.

106039422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 106039422720 in words is "one hundred six billion, thirty-nine million, four hundred twenty-two thousand, seven hundred twenty".