106576140 has 96 divisors (see below), whose sum is σ = 336107520. Its totient is φ = 24998400.

The previous prime is 106576139. The next prime is 106576193. The reversal of 106576140 is 41675601.

It is a super-2 number, since 2×106576140² = 22716947234599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106576098 and 106576107.

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, 17856 + ... + 23064.

It is an arithmetic number, because the mean of its divisors is an integer number (3501120).

Almost surely, 2^106576140 is an apocalyptic number.

106576140 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 106576140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168053760).

106576140 is an abundant number, since it is smaller than the sum of its proper divisors (229531380).

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

106576140 is a wasteful number, since it uses less digits than its factorization.

106576140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106576140 is about 10323.5720562216. The cubic root of 106576140 is about 474.1182385869.

The spelling of 106576140 in words is "one hundred six million, five hundred seventy-six thousand, one hundred forty".