101106144 has 120 divisors (see below), whose sum is σ = 313152840. Its totient is φ = 31912704.

The previous prime is 101106133. The next prime is 101106167. The reversal of 101106144 is 441601101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48222 + ... + 50274.

It is an arithmetic number, because the mean of its divisors is an integer number (2609607).

Almost surely, 2^101106144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156576420).

101106144 is an abundant number, since it is smaller than the sum of its proper divisors (212046696).

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

101106144 is a wasteful number, since it uses less digits than its factorization.

101106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101106144 is about 10055.1550957705. The cubic root of 101106144 is about 465.8640334718.

Adding to 101106144 its reverse (441601101), we get a palindrome (542707245).

The spelling of 101106144 in words is "one hundred one million, one hundred six thousand, one hundred forty-four".