101444000 has 96 divisors (see below), whose sum is σ = 284933376. Its totient is φ = 34771200.

The previous prime is 101443999. The next prime is 101444017. The reversal of 101444000 is 444101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26189 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (2968056).

Almost surely, 2^101444000 is an apocalyptic number.

101444000 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 101444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142466688).

101444000 is an abundant number, since it is smaller than the sum of its proper divisors (183489376).

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

101444000 is an equidigital number, since it uses as much as digits as its factorization.

101444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 101444000 is about 10071.9412230215. The cubic root of 101444000 is about 466.3823665179.

Adding to 101444000 its reverse (444101), we get a palindrome (101888101).

It can be divided in two parts, 10 and 1444000, that multiplied together give a square (14440000 = 3800²).

The spelling of 101444000 in words is "one hundred one million, four hundred forty-four thousand".