106875397140 has 96 divisors (see below), whose sum is σ = 306700369920. Its totient is φ = 27794948736.

The previous prime is 106875397099. The next prime is 106875397147. The reversal of 106875397140 is 41793578601.

It is a happy number.

It is a super-2 number, since 2×106875397140² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106875397147) 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 31 ways as a sum of consecutive naturals, for example, 731101 + ... + 865019.

It is an arithmetic number, because the mean of its divisors is an integer number (3194795520).

Almost surely, 2^106875397140 is an apocalyptic number.

106875397140 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 106875397140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153350184960).

106875397140 is an abundant number, since it is smaller than the sum of its proper divisors (199824972780).

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

106875397140 is a wasteful number, since it uses less digits than its factorization.

106875397140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134261 (or 134259 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 106875397140 in words is "one hundred six billion, eight hundred seventy-five million, three hundred ninety-seven thousand, one hundred forty".