107094450000 has 480 divisors, whose sum is σ = 371394979200. Its totient is φ = 26507520000.

The previous prime is 107094449999. The next prime is 107094450017. The reversal of 107094450000 is 54490701.

It is a happy number.

It is a super-2 number, since 2×107094450000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 107094450000.

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, 151049646 + ... + 151050354.

It is an arithmetic number, because the mean of its divisors is an integer number (773739540).

Almost surely, 2^107094450000 is an apocalyptic number.

107094450000 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 107094450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185697489600).

107094450000 is an abundant number, since it is smaller than the sum of its proper divisors (264300529200).

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

107094450000 is an equidigital number, since it uses as much as digits as its factorization.

107094450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 107094450000 in words is "one hundred seven billion, ninety-four million, four hundred fifty thousand".