106080942240 has 1152 divisors, whose sum is σ = 473351703552. Its totient is φ = 21021327360.

The previous prime is 106080942221. The next prime is 106080942271. The reversal of 106080942240 is 42249080601.

106080942240 is a `hidden beast` number, since 1 + 0 + 608 + 0 + 9 + 4 + 2 + 2 + 40 = 666.

It is a super-2 number, since 2×106080942240² (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 junction number, because it is equal to n+sod(n) for n = 106080942195 and 106080942204.

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 191 ways as a sum of consecutive naturals, for example, 183848832 + ... + 183849408.

It is an arithmetic number, because the mean of its divisors is an integer number (410895576).

Almost surely, 2^106080942240 is an apocalyptic number.

106080942240 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 106080942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236675851776).

106080942240 is an abundant number, since it is smaller than the sum of its proper divisors (367270761312).

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

106080942240 is a wasteful number, since it uses less digits than its factorization.

106080942240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 106080942240 in words is "one hundred six billion, eighty million, nine hundred forty-two thousand, two hundred forty".