105994512 has 120 divisors (see below), whose sum is σ = 327484248. Its totient is φ = 31795200.

The previous prime is 105994501. The next prime is 105994517. The reversal of 105994512 is 215499501.

105994512 is a `hidden beast` number, since 1 + 0 + 59 + 94 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 104775696 = 1104^2 + 10236^2 .

It is a super-2 number, since 2×105994512² = 22469673148236288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105994517) 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, 76062 + ... + 77442.

Almost surely, 2^105994512 is an apocalyptic number.

105994512 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 105994512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163742124).

105994512 is an abundant number, since it is smaller than the sum of its proper divisors (221489736).

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

105994512 is a wasteful number, since it uses less digits than its factorization.

105994512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 105994512 is about 10295.3636166966. The cubic root of 105994512 is about 473.2541814792.

The spelling of 105994512 in words is "one hundred five million, nine hundred ninety-four thousand, five hundred twelve".