10229100 has 72 divisors (see below), whose sum is σ = 33831168. Its totient is φ = 2337600.

The previous prime is 10229081. The next prime is 10229111. The reversal of 10229100 is 192201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10229100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 336 + ... + 4535.

Almost surely, 2^10229100 is an apocalyptic number.

10229100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915584).

10229100 is an abundant number, since it is smaller than the sum of its proper divisors (23602068).

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

10229100 is a wasteful number, since it uses less digits than its factorization.

10229100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10229100 is about 3198.2964215344. The cubic root of 10229100 is about 217.0763320977.

The spelling of 10229100 in words is "ten million, two hundred twenty-nine thousand, one hundred".