105991452 has 72 divisors (see below), whose sum is σ = 319527936. Its totient is φ = 28965024.

The previous prime is 105991451. The next prime is 105991453. The reversal of 105991452 is 254199501.

105991452 is a `hidden beast` number, since 1 + 0 + 599 + 14 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (105991451) and next prime (105991453).

It is a super-2 number, since 2×105991452² = 22468375794136608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105991451) 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, 3348 + ... + 14939.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2^105991452 is an apocalyptic number.

105991452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105991452 is an abundant number, since it is smaller than the sum of its proper divisors (213536484).

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

105991452 is a wasteful number, since it uses less digits than its factorization.

105991452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18327 (or 18322 counting only the distinct ones).

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

The square root of 105991452 is about 10295.2150050400. The cubic root of 105991452 is about 473.2496272443.

The spelling of 105991452 in words is "one hundred five million, nine hundred ninety-one thousand, four hundred fifty-two".