105057100 has 36 divisors (see below), whose sum is σ = 237891024. Its totient is φ = 40194880.

The previous prime is 105057089. The next prime is 105057103. The reversal of 105057100 is 1750501.

It is a super-2 number, since 2×105057100² = 22073988520820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105057103) 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 11 ways as a sum of consecutive naturals, for example, 20539 + ... + 25138.

It is an arithmetic number, because the mean of its divisors is an integer number (6608084).

Almost surely, 2^105057100 is an apocalyptic number.

105057100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105057100 is an abundant number, since it is smaller than the sum of its proper divisors (132833924).

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

105057100 is a wasteful number, since it uses less digits than its factorization.

105057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45714 (or 45707 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 105057100 is about 10249.7365819810. The cubic root of 105057100 is about 471.8549000985.

The spelling of 105057100 in words is "one hundred five million, fifty-seven thousand, one hundred".