102523960521600 has 384 divisors, whose sum is σ = 341262507801600. Its totient is φ = 27051651809280.

The previous prime is 102523960521581. The next prime is 102523960521607. The reversal of 102523960521600 is 6125069325201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×102523960521600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102523960521607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403639441 + ... + 403893359.

It is an arithmetic number, because the mean of its divisors is an integer number (888704447400).

Almost surely, 2^{102523960521600} is an apocalyptic number.

102523960521600 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 102523960521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170631253900800).

102523960521600 is an abundant number, since it is smaller than the sum of its proper divisors (238738547280000).

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

102523960521600 is a wasteful number, since it uses less digits than its factorization.

102523960521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254390 (or 254373 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 102523960521600 in words is "one hundred two trillion, five hundred twenty-three billion, nine hundred sixty million, five hundred twenty-one thousand, six hundred".