101105144 has 32 divisors (see below), whose sum is σ = 219895680. Its totient is φ = 42682464.

The previous prime is 101105143. The next prime is 101105153. The reversal of 101105144 is 441501101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9722 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (6871740).

Almost surely, 2^101105144 is an apocalyptic number.

101105144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101105144 is an abundant number, since it is smaller than the sum of its proper divisors (118790536).

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

101105144 is a wasteful number, since it uses less digits than its factorization.

101105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27027 (or 27023 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 101105144 is about 10055.1053699104. The cubic root of 101105144 is about 465.8624975758.

Adding to 101105144 its reverse (441501101), we get a palindrome (542606245).

The spelling of 101105144 in words is "one hundred one million, one hundred five thousand, one hundred forty-four".