101100090 has 128 divisors (see below), whose sum is σ = 309173760. Its totient is φ = 20579328.

The previous prime is 101100089. The next prime is 101100113. The reversal of 101100090 is 90001101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78532 + ... + 79808.

It is an arithmetic number, because the mean of its divisors is an integer number (2415420).

Almost surely, 2^101100090 is an apocalyptic number.

101100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586880).

101100090 is an abundant number, since it is smaller than the sum of its proper divisors (208073670).

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

101100090 is a wasteful number, since it uses less digits than its factorization.

101100090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101100090 is about 10054.8540516509. The cubic root of 101100090 is about 465.8547350025.

Adding to 101100090 its reverse (90001101), we get a palindrome (191101191).

The spelling of 101100090 in words is "one hundred one million, one hundred thousand, ninety".