105916032 has 128 divisors (see below), whose sum is σ = 329256000. Its totient is φ = 33426432.

The previous prime is 105916021. The next prime is 105916039. The reversal of 105916032 is 230619501.

105916032 is a `hidden beast` number, since 1 + 0 + 59 + 1 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105916032² = 22436411669250048, 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 = 105915987 and 105916005.

It is not an unprimeable number, because it can be changed into a prime (105916039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64858 + ... + 66470.

Almost surely, 2^105916032 is an apocalyptic number.

105916032 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 105916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164628000).

105916032 is an abundant number, since it is smaller than the sum of its proper divisors (223339968).

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

105916032 is a wasteful number, since it uses less digits than its factorization.

105916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1637 counting only the distinct ones).

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

The square root of 105916032 is about 10291.5514865350. The cubic root of 105916032 is about 473.1373510326.

The spelling of 105916032 in words is "one hundred five million, nine hundred sixteen thousand, thirty-two".