107151120384 has 768 divisors, whose sum is σ = 374376038400. Its totient is φ = 26453606400.

The previous prime is 107151120341. The next prime is 107151120437. The reversal of 107151120384 is 483021151701.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×107151120384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1356343257 + ... + 1356343335.

It is an arithmetic number, because the mean of its divisors is an integer number (487468800).

Almost surely, 2^107151120384 is an apocalyptic number.

107151120384 is a gapful number since it is divisible by the number (14) 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 107151120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187188019200).

107151120384 is an abundant number, since it is smaller than the sum of its proper divisors (267224918016).

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

107151120384 is a wasteful number, since it uses less digits than its factorization.

107151120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 107151120384 in words is "one hundred seven billion, one hundred fifty-one million, one hundred twenty thousand, three hundred eighty-four".