105055410 has 32 divisors (see below), whose sum is σ = 266965632. Its totient is φ = 26366720.

The previous prime is 105055367. The next prime is 105055411. The reversal of 105055410 is 14550501.

It is a super-2 number, since 2×105055410² = 22073278340536200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102486 + ... + 103505.

It is an arithmetic number, because the mean of its divisors is an integer number (8342676).

Almost surely, 2^105055410 is an apocalyptic number.

105055410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105055410 is an abundant number, since it is smaller than the sum of its proper divisors (161910222).

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

105055410 is a wasteful number, since it uses less digits than its factorization.

105055410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206018.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 105055410 is about 10249.6541405064. The cubic root of 105055410 is about 471.8523699218.

The spelling of 105055410 in words is "one hundred five million, fifty-five thousand, four hundred ten".