101100672 has 192 divisors, whose sum is σ = 318240000. Its totient is φ = 30689280.

The previous prime is 101100667. The next prime is 101100673. The reversal of 101100672 is 276001101.

It is a tau number, because it is divible by the number of its divisors (192).

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 (101100673) 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, 678454 + ... + 678602.

It is an arithmetic number, because the mean of its divisors is an integer number (1657500).

Almost surely, 2^101100672 is an apocalyptic number.

101100672 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 101100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120000).

101100672 is an abundant number, since it is smaller than the sum of its proper divisors (217139328).

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

101100672 is a wasteful number, since it uses less digits than its factorization.

101100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

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

The square root of 101100672 is about 10054.8829928548. The cubic root of 101100672 is about 465.8556289250.

Adding to 101100672 its reverse (276001101), we get a palindrome (377101773).

The spelling of 101100672 in words is "one hundred one million, one hundred thousand, six hundred seventy-two".