107422096320 has 1512 divisors, whose sum is σ = 492038073072. Its totient is φ = 22225674240.

The previous prime is 107422096273. The next prime is 107422096349. The reversal of 107422096320 is 23690224701.

107422096320 is a `hidden beast` number, since 10 + 7 + 4 + 2 + 2 + 0 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 461038924 + ... + 461039156.

It is an arithmetic number, because the mean of its divisors is an integer number (325422006).

Almost surely, 2^107422096320 is an apocalyptic number.

107422096320 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 107422096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246019036536).

107422096320 is an abundant number, since it is smaller than the sum of its proper divisors (384615976752).

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

107422096320 is a wasteful number, since it uses less digits than its factorization.

107422096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

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

The spelling of 107422096320 in words is "one hundred seven billion, four hundred twenty-two million, ninety-six thousand, three hundred twenty".