107020800 has 180 divisors, whose sum is σ = 383410170. Its totient is φ = 28508160.

The previous prime is 107020799. The next prime is 107020819. The reversal of 107020800 is 8020701.

It can be written as a sum of positive squares in 3 ways, for example, as 45805824 + 61214976 = 6768^2 + 7824^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×107020800² = 22906903265280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114736 + ... + 115664.

Almost surely, 2^107020800 is an apocalyptic number.

107020800 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 107020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191705085).

107020800 is an abundant number, since it is smaller than the sum of its proper divisors (276389370).

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

107020800 is an equidigital number, since it uses as much as digits as its factorization.

107020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107020800 is about 10345.0857898811. The cubic root of 107020800 is about 474.7767002130.

Subtracting from 107020800 its reverse (8020701), we obtain a palindrome (99000099).

The spelling of 107020800 in words is "one hundred seven million, twenty thousand, eight hundred".