1007102200 has 96 divisors (see below), whose sum is σ = 2537337600. Its totient is φ = 369538560.

The previous prime is 1007102189. The next prime is 1007102221. The reversal of 1007102200 is 22017001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448681 + ... + 450919.

It is an arithmetic number, because the mean of its divisors is an integer number (26430600).

Almost surely, 2^1007102200 is an apocalyptic number.

1007102200 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 1007102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268668800).

1007102200 is an abundant number, since it is smaller than the sum of its proper divisors (1530235400).

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

1007102200 is a wasteful number, since it uses less digits than its factorization.

1007102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1007102200 is about 31734.8735620610. The cubic root of 1007102200 is about 1002.3618174269.

Adding to 1007102200 its reverse (22017001), we get a palindrome (1029119201).

The spelling of 1007102200 in words is "one billion, seven million, one hundred two thousand, two hundred".