107649273888 has 192 divisors, whose sum is σ = 340135891200. Its totient is φ = 33122269440.

The previous prime is 107649273871. The next prime is 107649273929. The reversal of 107649273888 is 888372946701.

107649273888 is a `hidden beast` number, since 1 + 0 + 76 + 492 + 73 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×107649273888² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1869853 + ... + 1926563.

It is an arithmetic number, because the mean of its divisors is an integer number (1771541100).

Almost surely, 2^107649273888 is an apocalyptic number.

107649273888 is a gapful number since it is divisible by the number (18) 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 107649273888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170067945600).

107649273888 is an abundant number, since it is smaller than the sum of its proper divisors (232486617312).

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

107649273888 is an equidigital number, since it uses as much as digits as its factorization.

107649273888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56769 (or 56729 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 107649273888 in words is "one hundred seven billion, six hundred forty-nine million, two hundred seventy-three thousand, eight hundred eighty-eight".