10049100 has 144 divisors (see below), whose sum is σ = 32081280. Its totient is φ = 2419200.

The previous prime is 10049093. The next prime is 10049147. The reversal of 10049100 is 194001.

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 10049100.

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 47 ways as a sum of consecutive naturals, for example, 233679 + ... + 233721.

Almost surely, 2^10049100 is an apocalyptic number.

10049100 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 10049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040640).

10049100 is an abundant number, since it is smaller than the sum of its proper divisors (22032180).

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

10049100 is a wasteful number, since it uses less digits than its factorization.

10049100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

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

The square root of 10049100 is about 3170.0315455844. The cubic root of 10049100 is about 215.7955026129.

The spelling of 10049100 in words is "ten million, forty-nine thousand, one hundred".