105226632 has 96 divisors (see below), whose sum is σ = 327300480. Its totient is φ = 29917440.

The previous prime is 105226609. The next prime is 105226637. The reversal of 105226632 is 236622501.

105226632 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 26 + 632 = 666.

It is a super-2 number, since 2×105226632² = 22145288164126848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105226596 and 105226605.

It is not an unprimeable number, because it can be changed into a prime (105226637) 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, 141253 + ... + 141995.

It is an arithmetic number, because the mean of its divisors is an integer number (3409380).

Almost surely, 2^105226632 is an apocalyptic number.

105226632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105226632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163650240).

105226632 is an abundant number, since it is smaller than the sum of its proper divisors (222073848).

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

105226632 is a wasteful number, since it uses less digits than its factorization.

105226632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105226632 is about 10258.0033144857. The cubic root of 105226632 is about 472.1085764772.

The spelling of 105226632 in words is "one hundred five million, two hundred twenty-six thousand, six hundred thirty-two".