102690900 has 216 divisors, whose sum is σ = 354498144. Its totient is φ = 24710400.

The previous prime is 102690899. The next prime is 102690919. The reversal of 102690900 is 9096201.

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 71 ways as a sum of consecutive naturals, for example, 783835 + ... + 783965.

Almost surely, 2^102690900 is an apocalyptic number.

102690900 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 102690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177249072).

102690900 is an abundant number, since it is smaller than the sum of its proper divisors (251807244).

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

102690900 is a wasteful number, since it uses less digits than its factorization.

102690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102690900 is about 10133.6518590289. The cubic root of 102690900 is about 468.2854384082.

The spelling of 102690900 in words is "one hundred two million, six hundred ninety thousand, nine hundred".