107130073400 has 192 divisors, whose sum is σ = 288386542080. Its totient is φ = 36251942400.

The previous prime is 107130073399. The next prime is 107130073403. The reversal of 107130073400 is 4370031701.

It is a super-2 number, since 2×107130073400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107130073400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107130073403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50036330 + ... + 50038470.

It is an arithmetic number, because the mean of its divisors is an integer number (1502013240).

Almost surely, 2^107130073400 is an apocalyptic number.

107130073400 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 107130073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144193271040).

107130073400 is an abundant number, since it is smaller than the sum of its proper divisors (181256468680).

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

107130073400 is a wasteful number, since it uses less digits than its factorization.

107130073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 107130073400 in words is "one hundred seven billion, one hundred thirty million, seventy-three thousand, four hundred".