105231906 has 64 divisors (see below), whose sum is σ = 253612800. Its totient is φ = 32342544.

The previous prime is 105231827. The next prime is 105231913. The reversal of 105231906 is 609132501.

It is a super-2 number, since 2×105231906² = 22147508080785672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105231906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118195 + ... + 119081.

It is an arithmetic number, because the mean of its divisors is an integer number (3962700).

Almost surely, 2^105231906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105231906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126806400).

105231906 is an abundant number, since it is smaller than the sum of its proper divisors (148380894).

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

105231906 is an equidigital number, since it uses as much as digits as its factorization.

105231906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105231906 is about 10258.2603788362. The cubic root of 105231906 is about 472.1164637677.

The spelling of 105231906 in words is "one hundred five million, two hundred thirty-one thousand, nine hundred six".