102142650240 has 512 divisors, whose sum is σ = 387322560000. Its totient is φ = 25362284544.

The previous prime is 102142650227. The next prime is 102142650257. The reversal of 102142650240 is 42056241201.

102142650240 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 2 + 650 + 2 + 4 + 0 = 666.

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

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, 19368244 + ... + 19373516.

It is an arithmetic number, because the mean of its divisors is an integer number (756489375).

Almost surely, 2^102142650240 is an apocalyptic number.

102142650240 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 102142650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193661280000).

102142650240 is an abundant number, since it is smaller than the sum of its proper divisors (285179909760).

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

102142650240 is a wasteful number, since it uses less digits than its factorization.

102142650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102142650240 its reverse (42056241201), we get a palindrome (144198891441).

The spelling of 102142650240 in words is "one hundred two billion, one hundred forty-two million, six hundred fifty thousand, two hundred forty".