107070891200 has 336 divisors, whose sum is σ = 325538372544. Its totient is φ = 33752678400.

The previous prime is 107070891167. The next prime is 107070891209. The reversal of 107070891200 is 2198070701.

It is a super-2 number, since 2×107070891200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (107070891209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40912292 + ... + 40914908.

It is an arithmetic number, because the mean of its divisors is an integer number (968864204).

Almost surely, 2^107070891200 is an apocalyptic number.

107070891200 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 107070891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162769186272).

107070891200 is an abundant number, since it is smaller than the sum of its proper divisors (218467481344).

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

107070891200 is a wasteful number, since it uses less digits than its factorization.

107070891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The spelling of 107070891200 in words is "one hundred seven billion, seventy million, eight hundred ninety-one thousand, two hundred".