100672533 has 24 divisors (see below), whose sum is σ = 158820480. Its totient is φ = 61074720.

The previous prime is 100672513. The next prime is 100672547. The reversal of 100672533 is 335276001.

It is a happy number.

It is not a de Polignac number, because 100672533 - 2⁵ = 100672501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100672497 and 100672506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100672513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248 + ... + 14366.

It is an arithmetic number, because the mean of its divisors is an integer number (6617520).

Almost surely, 2^100672533 is an apocalyptic number.

100672533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100672533 is a deficient number, since it is larger than the sum of its proper divisors (58147947).

100672533 is a wasteful number, since it uses less digits than its factorization.

100672533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 100672533 is about 10033.5703017420. The cubic root of 100672533 is about 465.1970999327.

The spelling of 100672533 in words is "one hundred million, six hundred seventy-two thousand, five hundred thirty-three".