106672140 has 144 divisors (see below), whose sum is σ = 343429632. Its totient is φ = 27781056.

The previous prime is 106672133. The next prime is 106672157. The reversal of 106672140 is 41276601.

It is a super-2 number, since 2×106672140² = 22757890904359200, 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 47 ways as a sum of consecutive naturals, for example, 228187 + ... + 228653.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 2^106672140 is an apocalyptic number.

106672140 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 106672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

106672140 is an abundant number, since it is smaller than the sum of its proper divisors (236757492).

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

106672140 is a wasteful number, since it uses less digits than its factorization.

106672140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

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

The square root of 106672140 is about 10328.2205630980. The cubic root of 106672140 is about 474.2605521527.

The spelling of 106672140 in words is "one hundred six million, six hundred seventy-two thousand, one hundred forty".