105033900 has 72 divisors (see below), whose sum is σ = 319910080. Its totient is φ = 26533440.

The previous prime is 105033883. The next prime is 105033917. The reversal of 105033900 is 9330501.

It is an interprime number because it is at equal distance from previous prime (105033883) and next prime (105033917).

It is a super-2 number, since 2×105033900² = 22064240298420000, 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 23 ways as a sum of consecutive naturals, for example, 3514 + ... + 14913.

Almost surely, 2^105033900 is an apocalyptic number.

105033900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105033900 is an abundant number, since it is smaller than the sum of its proper divisors (214876180).

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

105033900 is a wasteful number, since it uses less digits than its factorization.

105033900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 105033900 is about 10248.6047830912. The cubic root of 105033900 is about 471.8201639420.

The spelling of 105033900 in words is "one hundred five million, thirty-three thousand, nine hundred".