1058972900 has 72 divisors (see below), whose sum is σ = 2407179264. Its totient is φ = 403603200.

The previous prime is 1058972867. The next prime is 1058972917. The reversal of 1058972900 is 92798501.

It is a super-2 number, since 2×1058972900² = 2242847205868820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719165 + ... + 720635.

Almost surely, 2^1058972900 is an apocalyptic number.

1058972900 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 1058972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203589632).

1058972900 is an abundant number, since it is smaller than the sum of its proper divisors (1348206364).

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

1058972900 is a wasteful number, since it uses less digits than its factorization.

1058972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 1058972900 is about 32541.8638064878. The cubic root of 1058972900 is about 1019.2833938817.

The spelling of 1058972900 in words is "one billion, fifty-eight million, nine hundred seventy-two thousand, nine hundred".