106551140 has 24 divisors (see below), whose sum is σ = 227428152. Its totient is φ = 41921280.

The previous prime is 106551127. The next prime is 106551149. The reversal of 106551140 is 41155601.

It can be written as a sum of positive squares in 4 ways, for example, as 2184484 + 104366656 = 1478^2 + 10216^2 .

It is a super-2 number, since 2×106551140² = 22706290870599200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106551149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42449 + ... + 44888.

It is an arithmetic number, because the mean of its divisors is an integer number (9476173).

Almost surely, 2^106551140 is an apocalyptic number.

106551140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106551140 is an abundant number, since it is smaller than the sum of its proper divisors (120877012).

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

106551140 is a wasteful number, since it uses less digits than its factorization.

106551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87407 (or 87405 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 106551140 is about 10322.3611639973. The cubic root of 106551140 is about 474.0811637380.

The spelling of 106551140 in words is "one hundred six million, five hundred fifty-one thousand, one hundred forty".