100641600 has 252 divisors, whose sum is σ = 371574060. Its totient is φ = 25804800.

The previous prime is 100641599. The next prime is 100641601. The reversal of 100641600 is 6146001.

100641600 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (100641599) and next prime (100641601).

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 100641024 = 24^2 + 10032^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100641601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417480 + ... + 417720.

Almost surely, 2^100641600 is an apocalyptic number.

100641600 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 100641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185787030).

100641600 is an abundant number, since it is smaller than the sum of its proper divisors (270932460).

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

100641600 is a wasteful number, since it uses less digits than its factorization.

100641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

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

The square root of 100641600 is about 10032.0287080929. The cubic root of 100641600 is about 465.1494490143.

Adding to 100641600 its reverse (6146001), we get a palindrome (106787601).

It can be divided in two parts, 10064 and 1600, that added together give a square (11664 = 108²).

The spelling of 100641600 in words is "one hundred million, six hundred forty-one thousand, six hundred".