6401600100 has 405 divisors, whose sum is σ = 24331022793. Its totient is φ = 1451701440.

The previous prime is 6401600089. The next prime is 6401600131. The reversal of 6401600100 is 10061046.

The square root of 6401600100 is 80010.

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

6401600100 is a `hidden beast` number, since 64 + 0 + 1 + 600 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2304576036 + 4097024064 = 48006^2 + 64008^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 50406237 + ... + 50406363.

Almost surely, 2^6401600100 is an apocalyptic number.

6401600100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6401600100 is the 80010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401600100

6401600100 is an abundant number, since it is smaller than the sum of its proper divisors (17929422693).

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

6401600100 is a wasteful number, since it uses less digits than its factorization.

6401600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 6401600100 is about 1856.7902498498.

Multiplying 6401600100 by its product of nonzero digits (144), we get a square (921830414400 = 960120²).

Adding to 6401600100 its reverse (10061046), we get a palindrome (6411661146).

The spelling of 6401600100 in words is "six billion, four hundred one million, six hundred thousand, one hundred".