1100100672 has 168 divisors, whose sum is σ = 3589934400. Its totient is φ = 318827520.

The previous prime is 1100100637. The next prime is 1100100679. The reversal of 1100100672 is 2760010011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1100100679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141954 + ... + 149502.

Almost surely, 2^1100100672 is an apocalyptic number.

1100100672 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 1100100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794967200).

1100100672 is an abundant number, since it is smaller than the sum of its proper divisors (2489833728).

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

1100100672 is a wasteful number, since it uses less digits than its factorization.

1100100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1100100672 is about 33167.7655563350. The cubic root of 1100100672 is about 1032.3116059211.

Adding to 1100100672 its reverse (2760010011), we get a palindrome (3860110683).

The spelling of 1100100672 in words is "one billion, one hundred million, one hundred thousand, six hundred seventy-two".