102065652 has 54 divisors (see below), whose sum is σ = 278441618. Its totient is φ = 31337568.

The previous prime is 102065641. The next prime is 102065653. The reversal of 102065652 is 256560201.

102065652 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 5 + 652 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70660836 + 31404816 = 8406^2 + 5604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102065653) 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, 218323 + ... + 218789.

Almost surely, 2^102065652 is an apocalyptic number.

102065652 is a gapful number since it is divisible by the number (12) 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 102065652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139220809).

102065652 is an abundant number, since it is smaller than the sum of its proper divisors (176375966).

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

102065652 is a wasteful number, since it uses less digits than its factorization.

102065652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 102065652 is about 10102.7546738501. The cubic root of 102065652 is about 467.3330956907. Note that the first 3 decimals are identical.

The spelling of 102065652 in words is "one hundred two million, sixty-five thousand, six hundred fifty-two".