106941187170 has 112 divisors (see below), whose sum is σ = 289058828472. Its totient is φ = 28473223680.

The previous prime is 106941187169. The next prime is 106941187211. The reversal of 106941187170 is 71781149601.

106941187170 is a `hidden beast` number, since 1 + 0 + 69 + 411 + 8 + 7 + 170 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106856418321 + 84768849 = 326889^2 + 9207^2 .

It is a super-2 number, since 2×106941187170² (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 55 ways as a sum of consecutive naturals, for example, 4807594 + ... + 4829786.

Almost surely, 2^106941187170 is an apocalyptic number.

106941187170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106941187170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529414236).

106941187170 is an abundant number, since it is smaller than the sum of its proper divisors (182117641302).

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

106941187170 is an equidigital number, since it uses as much as digits as its factorization.

106941187170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22879 (or 22864 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 106941187170 in words is "one hundred six billion, nine hundred forty-one million, one hundred eighty-seven thousand, one hundred seventy".