101460723841 has 27 divisors (see below), whose sum is σ = 110715240027. Its totient is φ = 92959503360.

The previous prime is 101460723839. The next prime is 101460723851. The reversal of 101460723841 is 148327064101.

The square root of 101460723841 is 318529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 36680293441 + 64780430400 = 191521^2 + 254520^2 .

It is not a de Polignac number, because 101460723841 - 2¹ = 101460723839 is a prime.

It is a super-3 number, since 3×101460723841³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101460723841.

It is not an unprimeable number, because it can be changed into a prime (101460723851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222014485 + ... + 222014941.

Almost surely, 2^101460723841 is an apocalyptic number.

101460723841 is the 318529-th square number.

101460723841 is the 159265-th centered octagonal number.

It is an amenable number.

101460723841 is a deficient number, since it is larger than the sum of its proper divisors (9254516186).

101460723841 is an frugal number, since it uses more digits than its factorization.

101460723841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

Adding to 101460723841 its reverse (148327064101), we get a palindrome (249787787942).

The spelling of 101460723841 in words is "one hundred one billion, four hundred sixty million, seven hundred twenty-three thousand, eight hundred forty-one".