102632514816 has 144 divisors (see below), whose sum is σ = 300424045824. Its totient is φ = 30907195392.

The previous prime is 102632514797. The next prime is 102632514821. The reversal of 102632514816 is 618415236201.

102632514816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359890 + ... + 578606.

It is an arithmetic number, because the mean of its divisors is an integer number (2086278096).

Almost surely, 2^102632514816 is an apocalyptic number.

102632514816 is a gapful number since it is divisible by the number (16) 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 102632514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150212022912).

102632514816 is an abundant number, since it is smaller than the sum of its proper divisors (197791531008).

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

102632514816 is a wasteful number, since it uses less digits than its factorization.

102632514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218796 (or 218782 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 102632514816 in words is "one hundred two billion, six hundred thirty-two million, five hundred fourteen thousand, eight hundred sixteen".