102689500 has 48 divisors (see below), whose sum is σ = 228140640. Its totient is φ = 40379600.

The previous prime is 102689479. The next prime is 102689507. The reversal of 102689500 is 5986201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102689507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740471 + ... + 1740529.

It is an arithmetic number, because the mean of its divisors is an integer number (4752930).

Almost surely, 2^102689500 is an apocalyptic number.

102689500 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 102689500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114070320).

102689500 is an abundant number, since it is smaller than the sum of its proper divisors (125451140).

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

102689500 is an frugal number, since it uses more digits than its factorization.

102689500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 102689500 is about 10133.5827820174. The cubic root of 102689500 is about 468.2833103306.

The spelling of 102689500 in words is "one hundred two million, six hundred eighty-nine thousand, five hundred".