105199452 has 48 divisors (see below), whose sum is σ = 273292320. Its totient is φ = 34995456.

The previous prime is 105199433. The next prime is 105199453. The reversal of 105199452 is 254991501.

105199452 is a `hidden beast` number, since 1 + 0 + 519 + 94 + 52 = 666.

It is a super-3 number, since 3×105199452³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (105199453) 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, 105018 + ... + 106014.

It is an arithmetic number, because the mean of its divisors is an integer number (5693590).

Almost surely, 2^105199452 is an apocalyptic number.

105199452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105199452 is an abundant number, since it is smaller than the sum of its proper divisors (168092868).

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

105199452 is a wasteful number, since it uses less digits than its factorization.

105199452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

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

The square root of 105199452 is about 10256.6784096997. The cubic root of 105199452 is about 472.0679244869.

The spelling of 105199452 in words is "one hundred five million, one hundred ninety-nine thousand, four hundred fifty-two".