101970144 has 96 divisors (see below), whose sum is σ = 300464640. Its totient is φ = 33641856.

The previous prime is 101970139. The next prime is 101970161. The reversal of 101970144 is 441079101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91897 + ... + 92999.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2^101970144 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 101970144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150232320).

101970144 is an abundant number, since it is smaller than the sum of its proper divisors (198494496).

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

101970144 is a wasteful number, since it uses less digits than its factorization.

101970144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101970144 is about 10098.0267379325. The cubic root of 101970144 is about 467.1872811168.

It can be divided in two parts, 1019701 and 44, that multiplied together give a palindrome (44866844).

The spelling of 101970144 in words is "one hundred one million, nine hundred seventy thousand, one hundred forty-four".