1055561100 has 144 divisors (see below), whose sum is σ = 3365784576. Its totient is φ = 253280000.

The previous prime is 1055561077. The next prime is 1055561249. The reversal of 1055561100 is 11655501.

It is a super-2 number, since 2×1055561100² = 2228418471666420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331717 + ... + 334883.

It is an arithmetic number, because the mean of its divisors is an integer number (23373504).

Almost surely, 2^1055561100 is an apocalyptic number.

1055561100 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 1055561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682892288).

1055561100 is an abundant number, since it is smaller than the sum of its proper divisors (2310223476).

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

1055561100 is a wasteful number, since it uses less digits than its factorization.

1055561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 1055561100 is about 32489.3998097841. The cubic root of 1055561100 is about 1018.1875734301.

The spelling of 1055561100 in words is "one billion, fifty-five million, five hundred sixty-one thousand, one hundred".