100200100 has 243 divisors, whose sum is σ = 301049091. Its totient is φ = 28828800.

The previous prime is 100200073. The next prime is 100200119. The reversal of 100200100 is 1002001.

The square root of 100200100 is 10010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25826724 + 74373376 = 5082^2 + 8624^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 100200100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7707694 + ... + 7707706.

Almost surely, 2^100200100 is an apocalyptic number.

100200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200100 is the 10010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200100

100200100 is an abundant number, since it is smaller than the sum of its proper divisors (200848991).

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

100200100 is a wasteful number, since it uses less digits than its factorization.

100200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The cubic root of 100200100 is about 464.4682710666.

Adding to 100200100 its reverse (1002001), we get a palindrome (101202101).

Multiplying 100200100 by its reverse (1002001), we get a square (100400600400100 = 10020010²).

100200100 divided by its reverse (1002001) gives a square (100 = 10²).

The spelling of 100200100 in words is "one hundred million, two hundred thousand, one hundred".