107020841200 has 720 divisors, whose sum is σ = 352493938944. Its totient is φ = 30810931200.

The previous prime is 107020841143. The next prime is 107020841237. The reversal of 107020841200 is 2148020701.

It is a happy number.

It is a super-2 number, since 2×107020841200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134279202 + ... + 134279998.

Almost surely, 2^107020841200 is an apocalyptic number.

107020841200 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 107020841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176246969472).

107020841200 is an abundant number, since it is smaller than the sum of its proper divisors (245473097744).

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

107020841200 is a wasteful number, since it uses less digits than its factorization.

107020841200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 107020841200 its reverse (2148020701), we get a palindrome (109168861901).

The spelling of 107020841200 in words is "one hundred seven billion, twenty million, eight hundred forty-one thousand, two hundred".