102116140302560 has 96 divisors (see below), whose sum is σ = 243034110396000. Its totient is φ = 40544338173952.

The previous prime is 102116140302559. The next prime is 102116140302563. The reversal of 102116140302560 is 65203041611201.

It is a super-2 number, since 2×102116140302560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116140302563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228994691 + ... + 229440189.

It is an arithmetic number, because the mean of its divisors is an integer number (2531605316625).

Almost surely, 2^{102116140302560} is an apocalyptic number.

102116140302560 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 102116140302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121517055198000).

102116140302560 is an abundant number, since it is smaller than the sum of its proper divisors (140917970093440).

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

102116140302560 is a wasteful number, since it uses less digits than its factorization.

102116140302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456108 (or 456100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 102116140302560 its reverse (65203041611201), we get a palindrome (167319181913761).

The spelling of 102116140302560 in words is "one hundred two trillion, one hundred sixteen billion, one hundred forty million, three hundred two thousand, five hundred sixty".