102001700 has 72 divisors (see below), whose sum is σ = 242562600. Its totient is φ = 37058560.

The previous prime is 102001693. The next prime is 102001721. The reversal of 102001700 is 7100201.

It can be written as a sum of positive squares in 12 ways, for example, as 29138404 + 72863296 = 5398^2 + 8536^2 .

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, 48266 + ... + 50334.

It is an arithmetic number, because the mean of its divisors is an integer number (3368925).

Almost surely, 2^102001700 is an apocalyptic number.

102001700 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 102001700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121281300).

102001700 is an abundant number, since it is smaller than the sum of its proper divisors (140560900).

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

102001700 is a wasteful number, since it uses less digits than its factorization.

102001700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 102001700 is about 10099.5891005526. The cubic root of 102001700 is about 467.2354685593.

Adding to 102001700 its reverse (7100201), we get a palindrome (109101901).

The spelling of 102001700 in words is "one hundred two million, one thousand, seven hundred".