101226600 has 72 divisors (see below), whose sum is σ = 339958710. Its totient is φ = 26993280.

The previous prime is 101226599. The next prime is 101226637. The reversal of 101226600 is 6622101.

It is a happy number.

101226600 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 660 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 76842756 + 24383844 = 8766^2 + 4938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 26319 + ... + 29918.

Almost surely, 2^101226600 is an apocalyptic number.

101226600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101226600 is an abundant number, since it is smaller than the sum of its proper divisors (238732110).

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

101226600 is a wasteful number, since it uses less digits than its factorization.

101226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56259 (or 56247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101226600 is about 10061.1430762116. The cubic root of 101226600 is about 466.0489673288.

Adding to 101226600 its reverse (6622101), we get a palindrome (107848701).

The spelling of 101226600 in words is "one hundred one million, two hundred twenty-six thousand, six hundred".