107329148200 has 24 divisors (see below), whose sum is σ = 249540270030. Its totient is φ = 42931659200.

The previous prime is 107329148177. The next prime is 107329148207. The reversal of 107329148200 is 2841923701.

It can be written as a sum of positive squares in 3 ways, for example, as 43803978436 + 63525169764 = 209294^2 + 252042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107329148200.

It is not an unprimeable number, because it can be changed into a prime (107329148207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268322671 + ... + 268323070.

Almost surely, 2^107329148200 is an apocalyptic number.

107329148200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107329148200 is an abundant number, since it is smaller than the sum of its proper divisors (142211121830).

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

107329148200 is a wasteful number, since it uses less digits than its factorization.

107329148200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536645757 (or 536645748 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 107329148200 in words is "one hundred seven billion, three hundred twenty-nine million, one hundred forty-eight thousand, two hundred".