101094144 has 72 divisors (see below), whose sum is σ = 271279680. Its totient is φ = 33420288.

The previous prime is 101094143. The next prime is 101094157. The reversal of 101094144 is 441490101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101094143) 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, 106279 + ... + 107225.

Almost surely, 2^101094144 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 101094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135639840).

101094144 is an abundant number, since it is smaller than the sum of its proper divisors (170185536).

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

101094144 is an equidigital number, since it uses as much as digits as its factorization.

101094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101094144 is about 10054.5583692174. The cubic root of 101094144 is about 465.8456020513.

The spelling of 101094144 in words is "one hundred one million, ninety-four thousand, one hundred forty-four".