107289351400 has 432 divisors, whose sum is σ = 325787585760. Its totient is φ = 32492275200.

The previous prime is 107289351391. The next prime is 107289351539. The reversal of 107289351400 is 4153982701.

It is a super-2 number, since 2×107289351400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 147577837 + ... + 147578563.

It is an arithmetic number, because the mean of its divisors is an integer number (754137930).

Almost surely, 2^107289351400 is an apocalyptic number.

107289351400 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 107289351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162893792880).

107289351400 is an abundant number, since it is smaller than the sum of its proper divisors (218498234360).

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

107289351400 is a wasteful number, since it uses less digits than its factorization.

107289351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 107289351400 in words is "one hundred seven billion, two hundred eighty-nine million, three hundred fifty-one thousand, four hundred".