107132138400 has 1152 divisors, whose sum is σ = 442291691520. Its totient is φ = 21976842240.

The previous prime is 107132138371. The next prime is 107132138431. The reversal of 107132138400 is 4831231701.

It is a super-2 number, since 2×107132138400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 555088704 + ... + 555088896.

It is an arithmetic number, because the mean of its divisors is an integer number (383933760).

Almost surely, 2^107132138400 is an apocalyptic number.

107132138400 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 107132138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221145845760).

107132138400 is an abundant number, since it is smaller than the sum of its proper divisors (335159553120).

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

107132138400 is a wasteful number, since it uses less digits than its factorization.

107132138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 107132138400 in words is "one hundred seven billion, one hundred thirty-two million, one hundred thirty-eight thousand, four hundred".