105492000 has 192 divisors, whose sum is σ = 353808000. Its totient is φ = 27468800.

The previous prime is 105491999. The next prime is 105492011. The reversal of 105492000 is 294501.

It is a super-2 number, since 2×105492000² = 22257124128000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707926 + ... + 708074.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^105492000 is an apocalyptic number.

105492000 is a gapful number since it is divisible by the number (10) 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 105492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

105492000 is an abundant number, since it is smaller than the sum of its proper divisors (248316000).

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

105492000 is a wasteful number, since it uses less digits than its factorization.

105492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105492000 is about 10270.9298507973. The cubic root of 105492000 is about 472.5051089843.

The spelling of 105492000 in words is "one hundred five million, four hundred ninety-two thousand".