105133100 has 36 divisors (see below), whose sum is σ = 241562664. Its totient is φ = 39578880.

The previous prime is 105133097. The next prime is 105133123. The reversal of 105133100 is 1331501.

It is a super-2 number, since 2×105133100² = 22105937431220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29222 + ... + 32621.

It is an arithmetic number, because the mean of its divisors is an integer number (6710074).

Almost surely, 2^105133100 is an apocalyptic number.

105133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105133100 is an abundant number, since it is smaller than the sum of its proper divisors (136429564).

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

105133100 is a wasteful number, since it uses less digits than its factorization.

105133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61874 (or 61867 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 105133100 is about 10253.4433240741. The cubic root of 105133100 is about 471.9686551530.

Adding to 105133100 its reverse (1331501), we get a palindrome (106464601).

The spelling of 105133100 in words is "one hundred five million, one hundred thirty-three thousand, one hundred".