1088054100 has 288 divisors, whose sum is σ = 4173066240. Its totient is φ = 237790080.

The previous prime is 1088054083. The next prime is 1088054129. The reversal of 1088054100 is 14508801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433449 + ... + 435951.

Almost surely, 2^1088054100 is an apocalyptic number.

1088054100 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 1088054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086533120).

1088054100 is an abundant number, since it is smaller than the sum of its proper divisors (3085012140).

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

1088054100 is a wasteful number, since it uses less digits than its factorization.

1088054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1088054100 is about 32985.6650683293. The cubic root of 1088054100 is about 1028.5296833256.

It can be divided in two parts, 10880 and 54100, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 1088054100 in words is "one billion, eighty-eight million, fifty-four thousand, one hundred".