101032144 has 20 divisors (see below), whose sum is σ = 196004320. Its totient is φ = 50450400.

The previous prime is 101032121. The next prime is 101032147. The reversal of 101032144 is 441230101.

101032144 = 978² + 979² + ... + 1073².

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10069 + ... + 17419.

It is an arithmetic number, because the mean of its divisors is an integer number (9800216).

Almost surely, 2^101032144 is an apocalyptic number.

It is an amenable number.

101032144 is a deficient number, since it is larger than the sum of its proper divisors (94972176).

101032144 is an equidigital number, since it uses as much as digits as its factorization.

101032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101032144 is about 10051.4747176720. The cubic root of 101032144 is about 465.7503498021.

Adding to 101032144 its reverse (441230101), we get a palindrome (542262245).

The spelling of 101032144 in words is "one hundred one million, thirty-two thousand, one hundred forty-four".