102109134336 has 160 divisors (see below), whose sum is σ = 299818810368. Its totient is φ = 30622679040.

The previous prime is 102109134313. The next prime is 102109134349. The reversal of 102109134336 is 633431901201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 102109134297 and 102109134306.

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, 1607761 + ... + 1670063.

Almost surely, 2^102109134336 is an apocalyptic number.

102109134336 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 102109134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909405184).

102109134336 is an abundant number, since it is smaller than the sum of its proper divisors (197709676032).

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

102109134336 is an equidigital number, since it uses as much as digits as its factorization.

102109134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62432 (or 62416 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 102109134336 in words is "one hundred two billion, one hundred nine million, one hundred thirty-four thousand, three hundred thirty-six".