102714144 has 96 divisors (see below), whose sum is σ = 292682880. Its totient is φ = 31539456.

The previous prime is 102714121. The next prime is 102714151. The reversal of 102714144 is 441417201.

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 (24).

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, 210669 + ... + 211155.

It is an arithmetic number, because the mean of its divisors is an integer number (3048780).

Almost surely, 2^102714144 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 102714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146341440).

102714144 is an abundant number, since it is smaller than the sum of its proper divisors (189968736).

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

102714144 is an equidigital number, since it uses as much as digits as its factorization.

102714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102714144 is about 10134.7986659825. The cubic root of 102714144 is about 468.3207677495.

The spelling of 102714144 in words is "one hundred two million, seven hundred fourteen thousand, one hundred forty-four".