102665100 has 72 divisors (see below), whose sum is σ = 309980160. Its totient is φ = 26185280.

The previous prime is 102665099. The next prime is 102665111. The reversal of 102665100 is 1566201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540 + ... + 14339.

It is an arithmetic number, because the mean of its divisors is an integer number (4305280).

Almost surely, 2^102665100 is an apocalyptic number.

102665100 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 102665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

102665100 is an abundant number, since it is smaller than the sum of its proper divisors (207315060).

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

102665100 is a wasteful number, since it uses less digits than its factorization.

102665100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 102665100 is about 10132.3787927614. The cubic root of 102665100 is about 468.2462178727.

The spelling of 102665100 in words is "one hundred two million, six hundred sixty-five thousand, one hundred".