107421700800 has 168 divisors, whose sum is σ = 352702790656. Its totient is φ = 28623836160.

The previous prime is 107421700783. The next prime is 107421700817. The reversal of 107421700800 is 8007124701.

It is an interprime number because it is at equal distance from previous prime (107421700783) and next prime (107421700817).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6822537 + ... + 6838263.

Almost surely, 2^107421700800 is an apocalyptic number.

107421700800 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 107421700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176351395328).

107421700800 is an abundant number, since it is smaller than the sum of its proper divisors (245281089856).

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

107421700800 is a wasteful number, since it uses less digits than its factorization.

107421700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17175 (or 17160 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 107421700800 in words is "one hundred seven billion, four hundred twenty-one million, seven hundred thousand, eight hundred".