1082101680 has 800 divisors, whose sum is σ = 4666844160. Its totient is φ = 228925440.

The previous prime is 1082101651. The next prime is 1082101681. The reversal of 1082101680 is 861012801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082101681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23023417 + ... + 23023463.

Almost surely, 2^1082101680 is an apocalyptic number.

1082101680 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 1082101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333422080).

1082101680 is an abundant number, since it is smaller than the sum of its proper divisors (3584742480).

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

1082101680 is a wasteful number, since it uses less digits than its factorization.

1082101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

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

The square root of 1082101680 is about 32895.3139519902. The cubic root of 1082101680 is about 1026.6506594082.

The spelling of 1082101680 in words is "one billion, eighty-two million, one hundred one thousand, six hundred eighty".