1007320100 has 36 divisors (see below), whose sum is σ = 2197023444. Its totient is φ = 400874880.

The previous prime is 1007320099. The next prime is 1007320117. The reversal of 1007320100 is 10237001.

It can be written as a sum of positive squares in 6 ways, for example, as 139192804 + 868127296 = 11798^2 + 29464^2 .

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 11 ways as a sum of consecutive naturals, for example, 5867 + ... + 45266.

It is an arithmetic number, because the mean of its divisors is an integer number (61028429).

Almost surely, 2^1007320100 is an apocalyptic number.

1007320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007320100 is an abundant number, since it is smaller than the sum of its proper divisors (1189703344).

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

1007320100 is a wasteful number, since it uses less digits than its factorization.

1007320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51344 (or 51337 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1007320100 is about 31738.3065080669. The cubic root of 1007320100 is about 1002.4341036654.

Adding to 1007320100 its reverse (10237001), we get a palindrome (1017557101).

The spelling of 1007320100 in words is "one billion, seven million, three hundred twenty thousand, one hundred".