102521100 has 144 divisors (see below), whose sum is σ = 330978816. Its totient is φ = 24288000.

The previous prime is 102521077. The next prime is 102521113. The reversal of 102521100 is 1125201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154770 + ... + 155430.

It is an arithmetic number, because the mean of its divisors is an integer number (2298464).

Almost surely, 2^102521100 is an apocalyptic number.

102521100 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 102521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165489408).

102521100 is an abundant number, since it is smaller than the sum of its proper divisors (228457716).

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

102521100 is a wasteful number, since it uses less digits than its factorization.

102521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 102521100 is about 10125.2703667606. The cubic root of 102521100 is about 468.0271917870.

Adding to 102521100 its reverse (1125201), we get a palindrome (103646301).

The spelling of 102521100 in words is "one hundred two million, five hundred twenty-one thousand, one hundred".