1007065700 has 18 divisors (see below), whose sum is σ = 2185332786. Its totient is φ = 402826240.

The previous prime is 1007065699. The next prime is 1007065729. The reversal of 1007065700 is 75607001.

It can be written as a sum of positive squares in 3 ways, for example, as 192876544 + 814189156 = 13888^2 + 28534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1007065700.

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 5 ways as a sum of consecutive naturals, for example, 5035229 + ... + 5035428.

It is an arithmetic number, because the mean of its divisors is an integer number (121407377).

Almost surely, 2^1007065700 is an apocalyptic number.

1007065700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007065700 is an abundant number, since it is smaller than the sum of its proper divisors (1178267086).

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

1007065700 is a wasteful number, since it uses less digits than its factorization.

1007065700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070671 (or 10070664 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1007065700 is about 31734.2984797206. The cubic root of 1007065700 is about 1002.3497078819.

The spelling of 1007065700 in words is "one billion, seven million, sixty-five thousand, seven hundred".