102942144 has 112 divisors (see below), whose sum is σ = 310225440. Its totient is φ = 33454080.

The previous prime is 102942143. The next prime is 102942167. The reversal of 102942144 is 441249201.

It is a happy number.

It is a super-2 number, since 2×102942144² = 21194170022633472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102942143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70122 + ... + 71574.

It is an arithmetic number, because the mean of its divisors is an integer number (2769870).

Almost surely, 2^102942144 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 102942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155112720).

102942144 is an abundant number, since it is smaller than the sum of its proper divisors (207283296).

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

102942144 is a wasteful number, since it uses less digits than its factorization.

102942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102942144 is about 10146.0408041758. The cubic root of 102942144 is about 468.6670304351.

The spelling of 102942144 in words is "one hundred two million, nine hundred forty-two thousand, one hundred forty-four".