102114144 has 72 divisors (see below), whose sum is σ = 316795752. Its totient is φ = 30942720.

The previous prime is 102114137. The next prime is 102114157. The reversal of 102114144 is 441411201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12949 + ... + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (4399941).

Almost surely, 2^102114144 is an apocalyptic number.

It is an amenable number.

102114144 is an abundant number, since it is smaller than the sum of its proper divisors (214681608).

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

102114144 is a wasteful number, since it uses less digits than its factorization.

102114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32260 (or 32249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102114144 is about 10105.1543283613. The cubic root of 102114144 is about 467.4070948864.

Adding to 102114144 its reverse (441411201), we get a palindrome (543525345).

The spelling of 102114144 in words is "one hundred two million, one hundred fourteen thousand, one hundred forty-four".