10182828100 has 27 divisors (see below), whose sum is σ = 22098926941. Its totient is φ = 4072727600.

The previous prime is 10182828083. The next prime is 10182828107. The reversal of 10182828100 is 182828101.

It is a happy number.

The square root of 10182828100 is 100910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3665818116 + 6517009984 = 60546^2 + 80728^2 .

It is a super-2 number, since 2×10182828100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10182828107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1004055 + ... + 1014145.

Almost surely, 2^10182828100 is an apocalyptic number.

10182828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10182828100 is the 100910-th square number.

It is an amenable number.

10182828100 is an abundant number, since it is smaller than the sum of its proper divisors (11916098841).

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

10182828100 is an frugal number, since it uses more digits than its factorization.

10182828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20196 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

Subtracting from 10182828100 its reverse (182828101), we obtain a palindrome (9999999999).

It can be divided in two parts, 101 and 82828100, that added together give a square (82828201 = 9101²).

The spelling of 10182828100 in words is "ten billion, one hundred eighty-two million, eight hundred twenty-eight thousand, one hundred".