10100844 has 72 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3064320.

The previous prime is 10100813. The next prime is 10100869. The reversal of 10100844 is 44800101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52789 + ... + 52979.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 2^10100844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

10100844 is an abundant number, since it is smaller than the sum of its proper divisors (17784468).

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

10100844 is a wasteful number, since it uses less digits than its factorization.

10100844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10100844 is about 3178.1824994799. The cubic root of 10100844 is about 216.1652541959.

Adding to 10100844 its reverse (44800101), we get a palindrome (54900945).

The spelling of 10100844 in words is "ten million, one hundred thousand, eight hundred forty-four".