100672544 has 48 divisors (see below), whose sum is σ = 229420800. Its totient is φ = 42591744.

The previous prime is 100672513. The next prime is 100672547. The reversal of 100672544 is 445276001.

It is a super-2 number, since 2×100672544² = 20269922230863872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100672547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14852 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (4779600).

Almost surely, 2^100672544 is an apocalyptic number.

100672544 is a gapful number since it is divisible by the number (14) 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 100672544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114710400).

100672544 is an abundant number, since it is smaller than the sum of its proper divisors (128748256).

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

100672544 is an equidigital number, since it uses as much as digits as its factorization.

100672544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 100672544 is about 10033.5708499018. The cubic root of 100672544 is about 465.1971168760.

The spelling of 100672544 in words is "one hundred million, six hundred seventy-two thousand, five hundred forty-four".