106379320320 has 1056 divisors, whose sum is σ = 473817157632. Its totient is φ = 21449539584.

The previous prime is 106379320301. The next prime is 106379320331. The reversal of 106379320320 is 23023973601.

106379320320 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 9 + 320 + 320 = 666.

It is a super-2 number, since 2×106379320320² (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, 96444889 + ... + 96445991.

Almost surely, 2^106379320320 is an apocalyptic number.

106379320320 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 106379320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236908578816).

106379320320 is an abundant number, since it is smaller than the sum of its proper divisors (367437837312).

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

106379320320 is a wasteful number, since it uses less digits than its factorization.

106379320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 106379320320 in words is "one hundred six billion, three hundred seventy-nine million, three hundred twenty thousand, three hundred twenty".