101305600 has 108 divisors (see below), whose sum is σ = 273732480. Its totient is φ = 36812800.

The previous prime is 101305597. The next prime is 101305643. The reversal of 101305600 is 6503101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69681 + ... + 71119.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2^101305600 is an apocalyptic number.

101305600 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 101305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136866240).

101305600 is an abundant number, since it is smaller than the sum of its proper divisors (172426880).

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

101305600 is a wasteful number, since it uses less digits than its factorization.

101305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 101305600 is about 10065.0683057792. The cubic root of 101305600 is about 466.1701749122.

Adding to 101305600 its reverse (6503101), we get a palindrome (107808701).

The spelling of 101305600 in words is "one hundred one million, three hundred five thousand, six hundred".