105141100 has 36 divisors (see below), whose sum is σ = 231061600. Its totient is φ = 41520960.

The previous prime is 105141077. The next prime is 105141103. The reversal of 105141100 is 1141501.

It is a super-2 number, since 2×105141100² = 22109301818420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105141103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 14554.

Almost surely, 2^105141100 is an apocalyptic number.

105141100 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 105141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115530800).

105141100 is an abundant number, since it is smaller than the sum of its proper divisors (125920500).

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

105141100 is a wasteful number, since it uses less digits than its factorization.

105141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402 (or 13395 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 105141100 is about 10253.8334295033. The cubic root of 105141100 is about 471.9806261798.

Adding to 105141100 its reverse (1141501), we get a palindrome (106282601).

The spelling of 105141100 in words is "one hundred five million, one hundred forty-one thousand, one hundred".