1010010090 has 64 divisors (see below), whose sum is σ = 2497968000. Its totient is φ = 261169920.

The previous prime is 1010010083. The next prime is 1010010091. The reversal of 1010010090 is 900100101.

It is not an unprimeable number, because it can be changed into a prime (1010010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366036 + ... + 368784.

It is an arithmetic number, because the mean of its divisors is an integer number (39030750).

Almost surely, 2^1010010090 is an apocalyptic number.

1010010090 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 1010010090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248984000).

1010010090 is an abundant number, since it is smaller than the sum of its proper divisors (1487957910).

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

1010010090 is a wasteful number, since it uses less digits than its factorization.

1010010090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127.

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

The square root of 1010010090 is about 31780.6559089016. The cubic root of 1010010090 is about 1003.3256246273.

Adding to 1010010090 its reverse (900100101), we get a palindrome (1910110191).

The spelling of 1010010090 in words is "one billion, ten million, ten thousand, ninety".