102105300 has 72 divisors (see below), whose sum is σ = 322291872. Its totient is φ = 24752000.

The previous prime is 102105251. The next prime is 102105301. The reversal of 102105300 is 3501201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12171 + ... + 18770.

It is an arithmetic number, because the mean of its divisors is an integer number (4476276).

Almost surely, 2^102105300 is an apocalyptic number.

102105300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102105300 is an abundant number, since it is smaller than the sum of its proper divisors (220186572).

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

102105300 is a wasteful number, since it uses less digits than its factorization.

102105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30969 (or 30962 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102105300 is about 10104.7167204232. The cubic root of 102105300 is about 467.3936006158.

Adding to 102105300 its reverse (3501201), we get a palindrome (105606501).

The spelling of 102105300 in words is "one hundred two million, one hundred five thousand, three hundred".