102102034320 has 1440 divisors, whose sum is σ = 442026958464. Its totient is φ = 20802355200.

The previous prime is 102102034313. The next prime is 102102034337. The reversal of 102102034320 is 23430201201.

102102034320 is a `hidden beast` number, since 1 + 0 + 210 + 20 + 3 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102102034293 and 102102034302.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1523910927 + ... + 1523910993.

Almost surely, 2^102102034320 is an apocalyptic number.

102102034320 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 102102034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221013479232).

102102034320 is an abundant number, since it is smaller than the sum of its proper divisors (339924924144).

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

102102034320 is a wasteful number, since it uses less digits than its factorization.

102102034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102102034320 its reverse (23430201201), we get a palindrome (125532235521).

The spelling of 102102034320 in words is "one hundred two billion, one hundred two million, thirty-four thousand, three hundred twenty".