106349332320 has 1920 divisors, whose sum is σ = 505825689600. Its totient is φ = 20379340800.

The previous prime is 106349332319. The next prime is 106349332333. The reversal of 106349332320 is 23233943601.

106349332320 is a `hidden beast` number, since 10 + 634 + 9 + 3 + 3 + 2 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×106349332320² (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 319 ways as a sum of consecutive naturals, for example, 1346194041 + ... + 1346194119.

It is an arithmetic number, because the mean of its divisors is an integer number (263450880).

Almost surely, 2^106349332320 is an apocalyptic number.

106349332320 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 106349332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252912844800).

106349332320 is an abundant number, since it is smaller than the sum of its proper divisors (399476357280).

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

106349332320 is a wasteful number, since it uses less digits than its factorization.

106349332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 106349332320 in words is "one hundred six billion, three hundred forty-nine million, three hundred thirty-two thousand, three hundred twenty".