106640172 has 48 divisors (see below), whose sum is σ = 282916480. Its totient is φ = 34718544.

The previous prime is 106640153. The next prime is 106640197. The reversal of 106640172 is 271046601.

106640172 is a `hidden beast` number, since 1 + 0 + 6 + 640 + 17 + 2 = 666.

It is a super-2 number, since 2×106640172² = 22744252568379168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6838 + ... + 16125.

Almost surely, 2^106640172 is an apocalyptic number.

106640172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106640172 is an abundant number, since it is smaller than the sum of its proper divisors (176276308).

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

106640172 is a wasteful number, since it uses less digits than its factorization.

106640172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23019 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106640172 is about 10326.6728426924. The cubic root of 106640172 is about 474.2131712211.

Adding to 106640172 its reverse (271046601), we get a palindrome (377686773).

The spelling of 106640172 in words is "one hundred six million, six hundred forty thousand, one hundred seventy-two".