102535620000 has 480 divisors, whose sum is σ = 368800496064. Its totient is φ = 24729600000.

The previous prime is 102535619999. The next prime is 102535620013. The reversal of 102535620000 is 26535201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222419770 + ... + 222420230.

Almost surely, 2^102535620000 is an apocalyptic number.

102535620000 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 102535620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184400248032).

102535620000 is an abundant number, since it is smaller than the sum of its proper divisors (266264876064).

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

102535620000 is a wasteful number, since it uses less digits than its factorization.

102535620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 102535620000 in words is "one hundred two billion, five hundred thirty-five million, six hundred twenty thousand".