1013164100 has 36 divisors (see below), whose sum is σ = 2367689604. Its totient is φ = 374090880.

The previous prime is 1013164093. The next prime is 1013164121. The reversal of 1013164100 is 14613101.

It can be written as a sum of positive squares in 6 ways, for example, as 306880324 + 706283776 = 17518^2 + 26576^2 .

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, 388379 + ... + 390978.

Almost surely, 2^1013164100 is an apocalyptic number.

1013164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013164100 is an abundant number, since it is smaller than the sum of its proper divisors (1354525504).

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

1013164100 is a wasteful number, since it uses less digits than its factorization.

1013164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779384 (or 779377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1013164100 is about 31830.2387675619. The cubic root of 1013164100 is about 1004.3689180909.

Adding to 1013164100 its reverse (14613101), we get a palindrome (1027777201).

The spelling of 1013164100 in words is "one billion, thirteen million, one hundred sixty-four thousand, one hundred".