107854440120 has 384 divisors, whose sum is σ = 425030860800. Its totient is φ = 23169742848.

The previous prime is 107854440073. The next prime is 107854440149. The reversal of 107854440120 is 21044458701.

It is a happy number.

107854440120 is a `hidden beast` number, since 1 + 0 + 78 + 544 + 40 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×107854440120² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6071892 + ... + 6089628.

It is an arithmetic number, because the mean of its divisors is an integer number (1106851200).

Almost surely, 2^107854440120 is an apocalyptic number.

107854440120 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 107854440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212515430400).

107854440120 is an abundant number, since it is smaller than the sum of its proper divisors (317176420680).

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

107854440120 is a wasteful number, since it uses less digits than its factorization.

107854440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17907 (or 17900 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 107854440120 its reverse (21044458701), we get a palindrome (128898898821).

The spelling of 107854440120 in words is "one hundred seven billion, eight hundred fifty-four million, four hundred forty thousand, one hundred twenty".