106165771920 has 960 divisors, whose sum is σ = 414864113664. Its totient is φ = 24141680640.

The previous prime is 106165771903. The next prime is 106165771931. The reversal of 106165771920 is 29177561601.

106165771920 is a `hidden beast` number, since 1 + 0 + 61 + 6 + 577 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×106165771920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 835950897 + ... + 835951023.

Almost surely, 2^106165771920 is an apocalyptic number.

106165771920 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 106165771920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207432056832).

106165771920 is an abundant number, since it is smaller than the sum of its proper divisors (308698341744).

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

106165771920 is a wasteful number, since it uses less digits than its factorization.

106165771920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 106165771920 in words is "one hundred six billion, one hundred sixty-five million, seven hundred seventy-one thousand, nine hundred twenty".