102013989504 has 512 divisors, whose sum is σ = 354063052800. Its totient is φ = 25327239168.

The previous prime is 102013989499. The next prime is 102013989541. The reversal of 102013989504 is 405989310201.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30477559 + ... + 30480905.

It is an arithmetic number, because the mean of its divisors is an integer number (691529400).

Almost surely, 2^102013989504 is an apocalyptic number.

102013989504 is a gapful number since it is divisible by the number (14) 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 102013989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177031526400).

102013989504 is an abundant number, since it is smaller than the sum of its proper divisors (252049063296).

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

102013989504 is a wasteful number, since it uses less digits than its factorization.

102013989504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 102013989504 in words is "one hundred two billion, thirteen million, nine hundred eighty-nine thousand, five hundred four".