107003151360 has 1760 divisors, whose sum is σ = 479363512320. Its totient is φ = 22295347200.

The previous prime is 107003151349. The next prime is 107003151461. The reversal of 107003151360 is 63151300701.

It is a super-2 number, since 2×107003151360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2609832940 + ... + 2609832980.

It is an arithmetic number, because the mean of its divisors is an integer number (272365632).

Almost surely, 2^107003151360 is an apocalyptic number.

107003151360 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 107003151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239681756160).

107003151360 is an abundant number, since it is smaller than the sum of its proper divisors (372360360960).

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

107003151360 is a wasteful number, since it uses less digits than its factorization.

107003151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 107003151360 in words is "one hundred seven billion, three million, one hundred fifty-one thousand, three hundred sixty".