102114143040 has 448 divisors, whose sum is σ = 403866925056. Its totient is φ = 21283872768.

The previous prime is 102114143023. The next prime is 102114143099. The reversal of 102114143040 is 40341411201.

102114143040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102114142998 and 102114143016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243839 + ... + 7257921.

It is an arithmetic number, because the mean of its divisors is an integer number (901488672).

Almost surely, 2^102114143040 is an apocalyptic number.

102114143040 is a gapful number since it is divisible by the number (10) 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 102114143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201933462528).

102114143040 is an abundant number, since it is smaller than the sum of its proper divisors (301752782016).

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

102114143040 is a wasteful number, since it uses less digits than its factorization.

102114143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206 (or 14196 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102114143040 its reverse (40341411201), we get a palindrome (142455554241).

The spelling of 102114143040 in words is "one hundred two billion, one hundred fourteen million, one hundred forty-three thousand, forty".