107419827200 has 264 divisors, whose sum is σ = 305397727104. Its totient is φ = 36698112000.

The previous prime is 107419827199. The next prime is 107419827253. The reversal of 107419827200 is 2728914701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59314295 + ... + 59316105.

Almost surely, 2^107419827200 is an apocalyptic number.

107419827200 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 107419827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152698863552).

107419827200 is an abundant number, since it is smaller than the sum of its proper divisors (197977899904).

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

107419827200 is a wasteful number, since it uses less digits than its factorization.

107419827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 107419827200 in words is "one hundred seven billion, four hundred nineteen million, eight hundred twenty-seven thousand, two hundred".