106557164 has 18 divisors (see below), whose sum is σ = 216920340. Its totient is φ = 45667272.

The previous prime is 106557161. The next prime is 106557169. The reversal of 106557164 is 461755601.

It is a super-2 number, since 2×106557164² = 22708858399445792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106557161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271634 + ... + 272025.

It is an arithmetic number, because the mean of its divisors is an integer number (12051130).

Almost surely, 2^106557164 is an apocalyptic number.

106557164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106557164 is an abundant number, since it is smaller than the sum of its proper divisors (110363176).

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

106557164 is a wasteful number, since it uses less digits than its factorization.

106557164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543677 (or 543668 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 106557164 is about 10322.6529535774. The cubic root of 106557164 is about 474.0900978239.

The spelling of 106557164 in words is "one hundred six million, five hundred fifty-seven thousand, one hundred sixty-four".