101206000 has 80 divisors (see below), whose sum is σ = 279714240. Its totient is φ = 34694400.

The previous prime is 101205983. The next prime is 101206037. The reversal of 101206000 is 602101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10386 + ... + 17614.

It is an arithmetic number, because the mean of its divisors is an integer number (3496428).

Almost surely, 2^101206000 is an apocalyptic number.

101206000 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 101206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139857120).

101206000 is an abundant number, since it is smaller than the sum of its proper divisors (178508240).

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

101206000 is an equidigital number, since it uses as much as digits as its factorization.

101206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101206000 is about 10060.1192835870. The cubic root of 101206000 is about 466.0173509353.

Adding to 101206000 its reverse (602101), we get a palindrome (101808101).

The spelling of 101206000 in words is "one hundred one million, two hundred six thousand".