105641500 has 24 divisors (see below), whose sum is σ = 230722128. Its totient is φ = 42256400.

The previous prime is 105641489. The next prime is 105641509. The reversal of 105641500 is 5146501.

It is a super-2 number, since 2×105641500² = 22320253044500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105641509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105142 + ... + 106141.

It is an arithmetic number, because the mean of its divisors is an integer number (9613422).

Almost surely, 2^105641500 is an apocalyptic number.

105641500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105641500 is an abundant number, since it is smaller than the sum of its proper divisors (125080628).

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

105641500 is a wasteful number, since it uses less digits than its factorization.

105641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211302 (or 211290 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105641500 is about 10278.2050962218. The cubic root of 105641500 is about 472.7282101694.

The spelling of 105641500 in words is "one hundred five million, six hundred forty-one thousand, five hundred".