106132180 has 48 divisors (see below), whose sum is σ = 277877376. Its totient is φ = 33079680.

The previous prime is 106132177. The next prime is 106132181. The reversal of 106132180 is 81231601.

It is a super-2 number, since 2×106132180² = 22528079263104800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32919 + ... + 35998.

It is an arithmetic number, because the mean of its divisors is an integer number (5789112).

Almost surely, 2^106132180 is an apocalyptic number.

106132180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106132180 is an abundant number, since it is smaller than the sum of its proper divisors (171745196).

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

106132180 is a wasteful number, since it uses less digits than its factorization.

106132180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68944 (or 68942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 106132180 is about 10302.0473693339. The cubic root of 106132180 is about 473.4589838123.

Adding to 106132180 its reverse (81231601), we get a palindrome (187363781).

The spelling of 106132180 in words is "one hundred six million, one hundred thirty-two thousand, one hundred eighty".