10502440100 has 18 divisors (see below), whose sum is σ = 22790295234. Its totient is φ = 4200976000.

The previous prime is 10502440087. The next prime is 10502440127. The reversal of 10502440100 is 104420501.

10502440100 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 1367668324 + 9134771776 = 36982^2 + 95576^2 .

It is a super-2 number, since 2×10502440100² (a number of 21 digits) 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 5 ways as a sum of consecutive naturals, for example, 52512101 + ... + 52512300.

It is an arithmetic number, because the mean of its divisors is an integer number (1266127513).

Almost surely, 2^10502440100 is an apocalyptic number.

10502440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10502440100 is an abundant number, since it is smaller than the sum of its proper divisors (12287855134).

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

10502440100 is a wasteful number, since it uses less digits than its factorization.

10502440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105024415 (or 105024408 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10502440100 its reverse (104420501), we get a palindrome (10606860601).

The spelling of 10502440100 in words is "ten billion, five hundred two million, four hundred forty thousand, one hundred".