102410140140 has 432 divisors, whose sum is σ = 399791718144. Its totient is φ = 20978899200.

The previous prime is 102410140139. The next prime is 102410140159. The reversal of 102410140140 is 41041014201.

102410140140 is a `hidden beast` number, since 102 + 410 + 14 + 0 + 140 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6880987 + ... + 6895853.

It is an arithmetic number, because the mean of its divisors is an integer number (925443792).

Almost surely, 2^102410140140 is an apocalyptic number.

102410140140 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 102410140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199895859072).

102410140140 is an abundant number, since it is smaller than the sum of its proper divisors (297381578004).

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

102410140140 is a wasteful number, since it uses less digits than its factorization.

102410140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14966 counting only the distinct ones).

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

Adding to 102410140140 its reverse (41041014201), we get a palindrome (143451154341).

The spelling of 102410140140 in words is "one hundred two billion, four hundred ten million, one hundred forty thousand, one hundred forty".