106509812160 has 224 divisors, whose sum is σ = 342017786880. Its totient is φ = 28080525312.

The previous prime is 106509812159. The next prime is 106509812221. The reversal of 106509812160 is 61218905601.

It is a super-2 number, since 2×106509812160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 67282729 + ... + 67284311.

It is an arithmetic number, because the mean of its divisors is an integer number (1526865120).

Almost surely, 2^106509812160 is an apocalyptic number.

106509812160 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 106509812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171008893440).

106509812160 is an abundant number, since it is smaller than the sum of its proper divisors (235507974720).

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

106509812160 is a wasteful number, since it uses less digits than its factorization.

106509812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 106509812160 in words is "one hundred six billion, five hundred nine million, eight hundred twelve thousand, one hundred sixty".