102528700 has 72 divisors (see below), whose sum is σ = 241484544. Its totient is φ = 37632000.

The previous prime is 102528677. The next prime is 102528737. The reversal of 102528700 is 7825201.

It is a super-3 number, since 3×102528700³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68965 + ... + 70435.

It is an arithmetic number, because the mean of its divisors is an integer number (3353952).

Almost surely, 2^102528700 is an apocalyptic number.

102528700 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 102528700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272).

102528700 is an abundant number, since it is smaller than the sum of its proper divisors (138955844).

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

102528700 is a wasteful number, since it uses less digits than its factorization.

102528700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 102528700 is about 10125.6456584259. The cubic root of 102528700 is about 468.0387566218.

The spelling of 102528700 in words is "one hundred two million, five hundred twenty-eight thousand, seven hundred".