101600 has 36 divisors (see below), whose sum is σ = 249984. Its totient is φ = 40320.

The previous prime is 101599. The next prime is 101603. The reversal of 101600 is 6101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101600.

It is not an unprimeable number, because it can be changed into a prime (101603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 737 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2¹⁰¹⁶⁰⁰ is an apocalyptic number.

101600 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 101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

101600 is an abundant number, since it is smaller than the sum of its proper divisors (148384).

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

101600 is a wasteful number, since it uses less digits than its factorization.

101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101600 is about 318.7475490102. The cubic root of 101600 is about 46.6621310785.

Adding to 101600 its reverse (6101), we get a palindrome (107701).

The spelling of 101600 in words is "one hundred one thousand, six hundred".