105500010 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 21669120.

The previous prime is 105499993. The next prime is 105500023. The reversal of 105500010 is 10005501.

It is a super-2 number, since 2×105500010² = 22260504220000200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251581 + ... + 251999.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^105500010 is an apocalyptic number.

105500010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

105500010 is an abundant number, since it is smaller than the sum of its proper divisors (213834390).

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

105500010 is a wasteful number, since it uses less digits than its factorization.

105500010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 105500010 is about 10271.3197788794. The cubic root of 105500010 is about 472.5170677746.

Adding to 105500010 its reverse (10005501), we get a palindrome (115505511).

The spelling of 105500010 in words is "one hundred five million, five hundred thousand, ten".