106532140 has 72 divisors (see below), whose sum is σ = 264197808. Its totient is φ = 35573760.

The previous prime is 106532137. The next prime is 106532143. The reversal of 106532140 is 41235601.

It is an interprime number because it is at equal distance from previous prime (106532137) and next prime (106532143).

It is a super-2 number, since 2×106532140² = 22698193705959200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106532143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 551884 + ... + 552076.

It is an arithmetic number, because the mean of its divisors is an integer number (3669414).

Almost surely, 2^106532140 is an apocalyptic number.

106532140 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 106532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132098904).

106532140 is an abundant number, since it is smaller than the sum of its proper divisors (157665668).

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

106532140 is a wasteful number, since it uses less digits than its factorization.

106532140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106532140 is about 10321.4407908974. The cubic root of 106532140 is about 474.0529829740.

Adding to 106532140 its reverse (41235601), we get a palindrome (147767741).

The spelling of 106532140 in words is "one hundred six million, five hundred thirty-two thousand, one hundred forty".