106557640 has 32 divisors (see below), whose sum is σ = 274006080. Its totient is φ = 36533952.

The previous prime is 106557559. The next prime is 106557673. The reversal of 106557640 is 46755601.

It is a happy number.

It is a super-2 number, since 2×106557640² = 22709061284739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106557596 and 106557605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190002 + ... + 190561.

It is an arithmetic number, because the mean of its divisors is an integer number (8562690).

Almost surely, 2^106557640 is an apocalyptic number.

106557640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106557640 is an abundant number, since it is smaller than the sum of its proper divisors (167448440).

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

106557640 is a wasteful number, since it uses less digits than its factorization.

106557640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380581 (or 380577 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 106557640 is about 10322.6760096401. The cubic root of 106557640 is about 474.0908037565.

The spelling of 106557640 in words is "one hundred six million, five hundred fifty-seven thousand, six hundred forty".