1081101672 has 384 divisors, whose sum is σ = 3875040000. Its totient is φ = 264757248.

The previous prime is 1081101667. The next prime is 1081101673. The reversal of 1081101672 is 2761011801.

It is not an unprimeable number, because it can be changed into a prime (1081101673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4720854 + ... + 4721082.

It is an arithmetic number, because the mean of its divisors is an integer number (10091250).

Almost surely, 2^1081101672 is an apocalyptic number.

1081101672 is a gapful number since it is divisible by the number (12) 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 1081101672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937520000).

1081101672 is an abundant number, since it is smaller than the sum of its proper divisors (2793938328).

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

1081101672 is a wasteful number, since it uses less digits than its factorization.

1081101672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1081101672 is about 32880.1105837556. The cubic root of 1081101672 is about 1026.3343073466.

The spelling of 1081101672 in words is "one billion, eighty-one million, one hundred one thousand, six hundred seventy-two".