901010106 has 48 divisors (see below), whose sum is σ = 2023992360. Its totient is φ = 289336320.

The previous prime is 901010087. The next prime is 901010107. The reversal of 901010106 is 601010109.

It can be written as a sum of positive squares in 4 ways, for example, as 851180625 + 49829481 = 29175^2 + 7059^2 .

It is a super-2 number, since 2×901010106² = 1623638422228262472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

901010106 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (901010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270306 + ... + 273618.

Almost surely, 2^901010106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901010106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011996180).

901010106 is an abundant number, since it is smaller than the sum of its proper divisors (1122982254).

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

901010106 is a wasteful number, since it uses less digits than its factorization.

901010106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 901010106 is about 30016.8303789724. The cubic root of 901010106 is about 965.8504520111.

The spelling of 901010106 in words is "nine hundred one million, ten thousand, one hundred six".