10444380100 has 288 divisors, whose sum is σ = 30356557056. Its totient is φ = 3019161600.

The previous prime is 10444380053. The next prime is 10444380101. The reversal of 10444380100 is 108344401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10444380101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9555154 + ... + 9556246.

It is an arithmetic number, because the mean of its divisors is an integer number (105404712).

Almost surely, 2^10444380100 is an apocalyptic number.

10444380100 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 10444380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178278528).

10444380100 is an abundant number, since it is smaller than the sum of its proper divisors (19912176956).

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

10444380100 is a wasteful number, since it uses less digits than its factorization.

10444380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 10444380100 in words is "ten billion, four hundred forty-four million, three hundred eighty thousand, one hundred".