106280045136 has 40 divisors (see below), whose sum is σ = 305063093760. Its totient is φ = 35426681568.

The previous prime is 106280045111. The next prime is 106280045243. The reversal of 106280045136 is 631540082601.

It is a happy number.

106280045136 is a `hidden beast` number, since 1 + 0 + 62 + 80 + 0 + 4 + 513 + 6 = 666.

106280045136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106280045136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106280045136.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 123008880 + ... + 123009743.

It is an arithmetic number, because the mean of its divisors is an integer number (7626577344).

Almost surely, 2^106280045136 is an apocalyptic number.

106280045136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106280045136 is an abundant number, since it is smaller than the sum of its proper divisors (198783048624).

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

106280045136 is a wasteful number, since it uses less digits than its factorization.

106280045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246018640 (or 246018628 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106280045136 in words is "one hundred six billion, two hundred eighty million, forty-five thousand, one hundred thirty-six".