1055510100 has 216 divisors, whose sum is σ = 3518238360. Its totient is φ = 264176640.

The previous prime is 1055510047. The next prime is 1055510107. The reversal of 1055510100 is 10155501.

1055510100 is a `hidden beast` number, since 1 + 0 + 55 + 510 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1468944 + 1054041156 = 1212^2 + 32466^2 .

It is a super-2 number, since 2×1055510100² = 2228203142404020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055510107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965154 + ... + 966246.

Almost surely, 2^1055510100 is an apocalyptic number.

1055510100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759119180).

1055510100 is an abundant number, since it is smaller than the sum of its proper divisors (2462728260).

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

1055510100 is a wasteful number, since it uses less digits than its factorization.

1055510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 1055510100 is about 32488.6149289255. The cubic root of 1055510100 is about 1018.1711750733.

Adding to 1055510100 its reverse (10155501), we get a palindrome (1065665601).

The spelling of 1055510100 in words is "one billion, fifty-five million, five hundred ten thousand, one hundred".