1082681100 has 144 divisors (see below), whose sum is σ = 3497588640. Its totient is φ = 287308800.

The previous prime is 1082681081. The next prime is 1082681111. The reversal of 1082681100 is 11862801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628240 + ... + 629960.

It is an arithmetic number, because the mean of its divisors is an integer number (24288810).

Almost surely, 2^1082681100 is an apocalyptic number.

1082681100 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 1082681100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748794320).

1082681100 is an abundant number, since it is smaller than the sum of its proper divisors (2414907540).

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

1082681100 is a wasteful number, since it uses less digits than its factorization.

1082681100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1082681100 is about 32904.1198028454. The cubic root of 1082681100 is about 1026.8338694808.

The spelling of 1082681100 in words is "one billion, eighty-two million, six hundred eighty-one thousand, one hundred".