101460233 has 18 divisors (see below), whose sum is σ = 125326926. Its totient is φ = 81615744.

The previous prime is 101460223. The next prime is 101460269. The reversal of 101460233 is 332064101.

It can be written as a sum of positive squares in 3 ways, for example, as 50580544 + 50879689 = 7112^2 + 7133^2 .

It is not a de Polignac number, because 101460233 - 2⁴ = 101460217 is a prime.

It is a super-3 number, since 3×101460233³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101460223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 290543 + ... + 290891.

It is an arithmetic number, because the mean of its divisors is an integer number (6962607).

Almost surely, 2^101460233 is an apocalyptic number.

It is an amenable number.

101460233 is a deficient number, since it is larger than the sum of its proper divisors (23866693).

101460233 is an frugal number, since it uses more digits than its factorization.

101460233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 101460233 is about 10072.7470433839. The cubic root of 101460233 is about 466.4072419210.

The spelling of 101460233 in words is "one hundred one million, four hundred sixty thousand, two hundred thirty-three".