105550100 has 18 divisors (see below), whose sum is σ = 229043934. Its totient is φ = 42220000.

The previous prime is 105550097. The next prime is 105550103. The reversal of 105550100 is 1055501.

It is an interprime number because it is at equal distance from previous prime (105550097) and next prime (105550103).

It can be written as a sum of positive squares in 3 ways, for example, as 3984016 + 101566084 = 1996^2 + 10078^2 .

It is a super-2 number, since 2×105550100² = 22281647220020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105550103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 527651 + ... + 527850.

It is an arithmetic number, because the mean of its divisors is an integer number (12724663).

Almost surely, 2^105550100 is an apocalyptic number.

105550100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105550100 is an abundant number, since it is smaller than the sum of its proper divisors (123493834).

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

105550100 is a wasteful number, since it uses less digits than its factorization.

105550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055515 (or 1055508 counting only the distinct ones).

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

The square root of 105550100 is about 10273.7578324584. The cubic root of 105550100 is about 472.5918375467.

Multiplying 105550100 by its reverse (1055501), we get a square (111408236100100 = 10555010²).

105550100 divided by its reverse (1055501) gives a square (100 = 10²).

The spelling of 105550100 in words is "one hundred five million, five hundred fifty thousand, one hundred".