105316632 has 256 divisors, whose sum is σ = 342144000. Its totient is φ = 29804544.

The previous prime is 105316621. The next prime is 105316633. The reversal of 105316632 is 236613501.

105316632 is a `hidden beast` number, since 10 + 5 + 3 + 16 + 632 = 666.

It is a super-2 number, since 2×105316632² = 22183185951646848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105316596 and 105316605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105316633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449203 + ... + 2449245.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 2^105316632 is an apocalyptic number.

105316632 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 105316632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

105316632 is an abundant number, since it is smaller than the sum of its proper divisors (236827368).

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

105316632 is a wasteful number, since it uses less digits than its factorization.

105316632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105316632 is about 10262.3891955041. The cubic root of 105316632 is about 472.2431357709.

The spelling of 105316632 in words is "one hundred five million, three hundred sixteen thousand, six hundred thirty-two".