107484899040 has 288 divisors, whose sum is σ = 405255928896. Its totient is φ = 25803571200.

The previous prime is 107484898967. The next prime is 107484899083. The reversal of 107484899040 is 40998484701.

107484899040 is a `hidden beast` number, since 1 + 0 + 74 + 8 + 489 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467590 + ... + 658490.

It is an arithmetic number, because the mean of its divisors is an integer number (1407138642).

Almost surely, 2^107484899040 is an apocalyptic number.

107484899040 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 107484899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202627964448).

107484899040 is an abundant number, since it is smaller than the sum of its proper divisors (297771029856).

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

107484899040 is a wasteful number, since it uses less digits than its factorization.

107484899040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190962 (or 190951 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 107484899040 in words is "one hundred seven billion, four hundred eighty-four million, eight hundred ninety-nine thousand, forty".