107290310400 has 864 divisors, whose sum is σ = 484283448320. Its totient is φ = 22633758720.

The previous prime is 107290310381. The next prime is 107290310423. The reversal of 107290310400 is 4013092701.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×107290310400² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15721389 + ... + 15728211.

Almost surely, 2^107290310400 is an apocalyptic number.

107290310400 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 107290310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242141724160).

107290310400 is an abundant number, since it is smaller than the sum of its proper divisors (376993137920).

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

107290310400 is a wasteful number, since it uses less digits than its factorization.

107290310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 107290310400 in words is "one hundred seven billion, two hundred ninety million, three hundred ten thousand, four hundred".