10258011700 has 18 divisors (see below), whose sum is σ = 22259885606. Its totient is φ = 4103204640.

The previous prime is 10258011677. The next prime is 10258011703. The reversal of 10258011700 is 711085201.

10258011700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 532501776 + 9725509924 = 23076^2 + 98618^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258011703) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51289959 + ... + 51290158.

Almost surely, 2^10258011700 is an apocalyptic number.

10258011700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10258011700 is an abundant number, since it is smaller than the sum of its proper divisors (12001873906).

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

10258011700 is a wasteful number, since it uses less digits than its factorization.

10258011700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102580131 (or 102580124 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 10258011700 its reverse (711085201), we get a palindrome (10969096901).

The spelling of 10258011700 in words is "ten billion, two hundred fifty-eight million, eleven thousand, seven hundred".