102516345003600 has 960 divisors, whose sum is σ = 403749700865280. Its totient is φ = 24497211801600.

The previous prime is 102516345003521. The next prime is 102516345003623. The reversal of 102516345003600 is 6300543615201.

102516345003600 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 6 + 3 + 45 + 0 + 0 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22695668542 + ... + 22695673058.

It is an arithmetic number, because the mean of its divisors is an integer number (420572605068).

Almost surely, 2^{102516345003600} is an apocalyptic number.

102516345003600 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 102516345003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201874850432640).

102516345003600 is an abundant number, since it is smaller than the sum of its proper divisors (301233355861680).

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

102516345003600 is a wasteful number, since it uses less digits than its factorization.

102516345003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 102516345003600 its reverse (6300543615201), we get a palindrome (108816888618801).

The spelling of 102516345003600 in words is "one hundred two trillion, five hundred sixteen billion, three hundred forty-five million, three thousand, six hundred".