101189844 has 96 divisors (see below), whose sum is σ = 302319360. Its totient is φ = 28670976.

The previous prime is 101189843. The next prime is 101189849. The reversal of 101189844 is 448981101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101189799 and 101189808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101189843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103084 + ... + 104060.

It is an arithmetic number, because the mean of its divisors is an integer number (3149160).

Almost surely, 2^101189844 is an apocalyptic number.

101189844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101189844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151159680).

101189844 is an abundant number, since it is smaller than the sum of its proper divisors (201129516).

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

101189844 is a wasteful number, since it uses less digits than its factorization.

101189844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 101189844 is about 10059.3162789526. The cubic root of 101189844 is about 465.9925520861.

The spelling of 101189844 in words is "one hundred one million, one hundred eighty-nine thousand, eight hundred forty-four".