105497000 has 96 divisors (see below), whose sum is σ = 287300520. Its totient is φ = 36153600.

The previous prime is 105496991. The next prime is 105497003. The reversal of 105497000 is 794501.

It can be written as a sum of positive squares in 4 ways, for example, as 10278436 + 95218564 = 3206^2 + 9758^2 .

It is a super-2 number, since 2×105497000² = 22259234018000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105497003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47924 + ... + 50076.

Almost surely, 2^105497000 is an apocalyptic number.

105497000 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 105497000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143650260).

105497000 is an abundant number, since it is smaller than the sum of its proper divisors (181803520).

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

105497000 is a wasteful number, since it uses less digits than its factorization.

105497000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105497000 is about 10271.1732533338. The cubic root of 105497000 is about 472.5125739681.

The spelling of 105497000 in words is "one hundred five million, four hundred ninety-seven thousand".