101444420 has 96 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 29946240.

The previous prime is 101444419. The next prime is 101444461. The reversal of 101444420 is 24444101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101444392 and 101444401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27527 + ... + 30993.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2^101444420 is an apocalyptic number.

101444420 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 101444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

101444420 is an abundant number, since it is smaller than the sum of its proper divisors (178215100).

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

101444420 is a wasteful number, since it uses less digits than its factorization.

101444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 101444420 is about 10071.9620730025. The cubic root of 101444420 is about 466.3830101582.

Adding to 101444420 its reverse (24444101), we get a palindrome (125888521).

The spelling of 101444420 in words is "one hundred one million, four hundred forty-four thousand, four hundred twenty".