101444100 has 72 divisors (see below), whose sum is σ = 310792608. Its totient is φ = 25459200.

The previous prime is 101444093. The next prime is 101444129. The reversal of 101444100 is 1444101.

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 101444100.

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 23 ways as a sum of consecutive naturals, for example, 4846 + ... + 15045.

It is an arithmetic number, because the mean of its divisors is an integer number (4316564).

Almost surely, 2^101444100 is an apocalyptic number.

101444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101444100 is an abundant number, since it is smaller than the sum of its proper divisors (209348508).

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

101444100 is a wasteful number, since it uses less digits than its factorization.

101444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19925 (or 19918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101444100 is about 10071.9461873066. The cubic root of 101444100 is about 466.3825197657.

Adding to 101444100 its reverse (1444101), we get a palindrome (102888201).

Subtracting from 101444100 its reverse (1444101), we obtain a palindrome (99999999).

The spelling of 101444100 in words is "one hundred one million, four hundred forty-four thousand, one hundred".