102666528 has 120 divisors (see below), whose sum is σ = 305041968. Its totient is φ = 34012224.

The previous prime is 102666523. The next prime is 102666533. The reversal of 102666528 is 825666201.

It is an interprime number because it is at equal distance from previous prime (102666523) and next prime (102666533).

It is a super-4 number, since 4×102666528⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102666492 and 102666501.

It is not an unprimeable number, because it can be changed into a prime (102666523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629775 + ... + 629937.

Almost surely, 2^102666528 is an apocalyptic number.

102666528 is a gapful number since it is divisible by the number (18) 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 102666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152520984).

102666528 is an abundant number, since it is smaller than the sum of its proper divisors (202375440).

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

102666528 is an frugal number, since it uses more digits than its factorization.

102666528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 102666528 is about 10132.4492596805. The cubic root of 102666528 is about 468.2483888555.

The spelling of 102666528 in words is "one hundred two million, six hundred sixty-six thousand, five hundred twenty-eight".