102441600 has 144 divisors (see below), whose sum is σ = 365637870. Its totient is φ = 27310080.

The previous prime is 102441589. The next prime is 102441611. The reversal of 102441600 is 6144201.

102441600 is a `hidden beast` number, since 1 + 0 + 24 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (102441589) and next prime (102441611).

It can be written as a sum of positive squares in 3 ways, for example, as 54997056 + 47444544 = 7416^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 27022 + ... + 30578.

Almost surely, 2^102441600 is an apocalyptic number.

102441600 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 102441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182818935).

102441600 is an abundant number, since it is smaller than the sum of its proper divisors (263196270).

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

102441600 is a wasteful number, since it uses less digits than its factorization.

102441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102441600 is about 10121.3437843006. The cubic root of 102441600 is about 467.9061832545.

Adding to 102441600 its reverse (6144201), we get a palindrome (108585801).

It can be divided in two parts, 102441 and 600, that added together give a square (103041 = 321²).

The spelling of 102441600 in words is "one hundred two million, four hundred forty-one thousand, six hundred".