102105062730 has 320 divisors, whose sum is σ = 323812494720. Its totient is φ = 22814784000.

The previous prime is 102105062723. The next prime is 102105062753. The reversal of 102105062730 is 37260501201.

It is a happy number.

102105062730 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 5 + 0 + 627 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102105062694 and 102105062703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6255580 + ... + 6271880.

It is an arithmetic number, because the mean of its divisors is an integer number (1011914046).

Almost surely, 2^102105062730 is an apocalyptic number.

102105062730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102105062730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161906247360).

102105062730 is an abundant number, since it is smaller than the sum of its proper divisors (221707431990).

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

102105062730 is a wasteful number, since it uses less digits than its factorization.

102105062730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16387 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 102105062730 its reverse (37260501201), we get a palindrome (139365563931).

The spelling of 102105062730 in words is "one hundred two billion, one hundred five million, sixty-two thousand, seven hundred thirty".