10428100 has 18 divisors (see below), whose sum is σ = 22629194. Its totient is φ = 4171200.

The previous prime is 10428091. The next prime is 10428101. The reversal of 10428100 is 182401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 391876 + 10036224 = 626^2 + 3168^2 .

It is a super-2 number, since 2×10428100² = 217490539220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10428101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52041 + ... + 52240.

Almost surely, 2^10428100 is an apocalyptic number.

10428100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10428100 is an abundant number, since it is smaller than the sum of its proper divisors (12201094).

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

10428100 is a wasteful number, since it uses less digits than its factorization.

10428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104295 (or 104288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10428100 is about 3229.2568804603. The cubic root of 10428100 is about 218.4749904610.

The spelling of 10428100 in words is "ten million, four hundred twenty-eight thousand, one hundred".