105505100 has 36 divisors (see below), whose sum is σ = 241000200. Its totient is φ = 39980160.

The previous prime is 105505087. The next prime is 105505129. The reversal of 105505100 is 1505501.

It is a super-2 number, since 2×105505100² = 22262652252020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25865 + ... + 29664.

It is an arithmetic number, because the mean of its divisors is an integer number (6694450).

Almost surely, 2^105505100 is an apocalyptic number.

105505100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505100 is an abundant number, since it is smaller than the sum of its proper divisors (135495100).

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

105505100 is a wasteful number, since it uses less digits than its factorization.

105505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55562 (or 55555 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 105505100 is about 10271.5675532024. The cubic root of 105505100 is about 472.5246667413.

The spelling of 105505100 in words is "one hundred five million, five hundred five thousand, one hundred".