100144733 has 16 divisors (see below), whose sum is σ = 110750976. Its totient is φ = 89976000.

The previous prime is 100144727. The next prime is 100144757. The reversal of 100144733 is 337441001.

It is a cyclic number.

It is not a de Polignac number, because 100144733 - 2²² = 95950429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100144699 and 100144708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153035 + ... + 153687.

It is an arithmetic number, because the mean of its divisors is an integer number (6921936).

Almost surely, 2^100144733 is an apocalyptic number.

100144733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100144733 is a deficient number, since it is larger than the sum of its proper divisors (10606243).

100144733 is a wasteful number, since it uses less digits than its factorization.

100144733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 100144733 is about 10007.2340334380. The cubic root of 100144733 is about 464.3827057732.

Adding to 100144733 its reverse (337441001), we get a palindrome (437585734).

The spelling of 100144733 in words is "one hundred million, one hundred forty-four thousand, seven hundred thirty-three".