106171599778320 has 160 divisors (see below), whose sum is σ = 335503097320320. Its totient is φ = 27768062361600.

The previous prime is 106171599778313. The next prime is 106171599778339. The reversal of 106171599778320 is 23877995171601.

It is a super-2 number, since 2×106171599778320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10734081 + ... + 18098720.

It is an arithmetic number, because the mean of its divisors is an integer number (2096894358252).

Almost surely, 2^{106171599778320} is an apocalyptic number.

106171599778320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106171599778320 is an abundant number, since it is smaller than the sum of its proper divisors (229331497542000).

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

106171599778320 is a wasteful number, since it uses less digits than its factorization.

106171599778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28833113 (or 28833107 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 66.

The spelling of 106171599778320 in words is "one hundred six trillion, one hundred seventy-one billion, five hundred ninety-nine million, seven hundred seventy-eight thousand, three hundred twenty".