106100 has 18 divisors (see below), whose sum is σ = 230454. Its totient is φ = 42400.

The previous prime is 106087. The next prime is 106103. The reversal of 106100 is 1601.

It can be written as a sum of positive squares in 3 ways, for example, as 11236 + 94864 = 106^2 + 308^2 .

It is a super-2 number, since 2×106100² = 22514420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106103) by changing a digit.

106100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 431 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (12803).

2¹⁰⁶¹⁰⁰ is an apocalyptic number.

106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106100 is an abundant number, since it is smaller than the sum of its proper divisors (124354).

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

106100 is a wasteful number, since it uses less digits than its factorization.

106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

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

The square root of 106100 is about 325.7299494980. The cubic root of 106100 is about 47.3411126979.

Adding to 106100 its reverse (1601), we get a palindrome (107701).

The spelling of 106100 in words is "one hundred six thousand, one hundred".