102269664 has 108 divisors (see below), whose sum is σ = 338358384. Its totient is φ = 29215872.

The previous prime is 102269663. The next prime is 102269693. The reversal of 102269664 is 466962201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102269663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10489 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (3132948).

Almost surely, 2^102269664 is an apocalyptic number.

102269664 is a gapful number since it is divisible by the number (14) 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 102269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169179192).

102269664 is an abundant number, since it is smaller than the sum of its proper divisors (236088720).

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

102269664 is a wasteful number, since it uses less digits than its factorization.

102269664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 102269664 is about 10112.8464835574. The cubic root of 102269664 is about 467.6442617693.

The spelling of 102269664 in words is "one hundred two million, two hundred sixty-nine thousand, six hundred sixty-four".