1055331100 has 72 divisors (see below), whose sum is σ = 2433125520. Its totient is φ = 395934720.

The previous prime is 1055331097. The next prime is 1055331113. The reversal of 1055331100 is 11335501.

It is a super-2 number, since 2×1055331100² = 2227447461254420000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 589006 + ... + 590794.

It is an arithmetic number, because the mean of its divisors is an integer number (33793410).

Almost surely, 2^1055331100 is an apocalyptic number.

1055331100 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 1055331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216562760).

1055331100 is an abundant number, since it is smaller than the sum of its proper divisors (1377794420).

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

1055331100 is a wasteful number, since it uses less digits than its factorization.

1055331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 1055331100 is about 32485.8600009296. The cubic root of 1055331100 is about 1018.1136158755.

Adding to 1055331100 its reverse (11335501), we get a palindrome (1066666601).

The spelling of 1055331100 in words is "one billion, fifty-five million, three hundred thirty-one thousand, one hundred".