58020100 has 18 divisors (see below), whose sum is σ = 125903834. Its totient is φ = 23208000.

The previous prime is 58020059. The next prime is 58020161. The reversal of 58020100 is 102085.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17239104 + 40780996 = 4152^2 + 6386^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290001 + ... + 290200.

Almost surely, 2^58020100 is an apocalyptic number.

58020100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58020100 is an abundant number, since it is smaller than the sum of its proper divisors (67883734).

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

58020100 is a wasteful number, since it uses less digits than its factorization.

58020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580215 (or 580208 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 58020100 is about 7617.0926212040. The cubic root of 58020100 is about 387.1323741975.

Adding to 58020100 its reverse (102085), we get a palindrome (58122185).

The spelling of 58020100 in words is "fifty-eight million, twenty thousand, one hundred".