105494800 has 30 divisors (see below), whose sum is σ = 253452218. Its totient is φ = 42197760.

The previous prime is 105494797. The next prime is 105494801. The reversal of 105494800 is 8494501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 104775696 = 848^2 + 10236^2 .

It is a super-2 number, since 2×105494800² = 22258305654080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105494801) 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 5 ways as a sum of consecutive naturals, for example, 131469 + ... + 132268.

Almost surely, 2^105494800 is an apocalyptic number.

105494800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105494800 is an abundant number, since it is smaller than the sum of its proper divisors (147957418).

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

105494800 is a wasteful number, since it uses less digits than its factorization.

105494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263755 (or 263744 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105494800 is about 10271.0661569284. The cubic root of 105494800 is about 472.5092894043.

The spelling of 105494800 in words is "one hundred five million, four hundred ninety-four thousand, eight hundred".