106165864300 has 72 divisors (see below), whose sum is σ = 240822364160. Its totient is φ = 40576161600.

The previous prime is 106165864253. The next prime is 106165864309. The reversal of 106165864300 is 3468561601.

It is a super-2 number, since 2×106165864300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106165864309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28147 + ... + 461653.

Almost surely, 2^106165864300 is an apocalyptic number.

106165864300 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 106165864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120411182080).

106165864300 is an abundant number, since it is smaller than the sum of its proper divisors (134656499860).

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

106165864300 is a wasteful number, since it uses less digits than its factorization.

106165864300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433631 (or 433624 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 106165864300 in words is "one hundred six billion, one hundred sixty-five million, eight hundred sixty-four thousand, three hundred".