101404670481 has 27 divisors (see below), whose sum is σ = 147545082139. Its totient is φ = 67112077632.

The previous prime is 101404670447. The next prime is 101404670483. The reversal of 101404670481 is 184076404101.

The square root of 101404670481 is 318441.

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

101404670481 is a `hidden beast` number, since 10 + 140 + 467 + 0 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62352587025 + 39052083456 = 249705^2 + 197616^2 .

It is not a de Polignac number, because 101404670481 - 2²¹ = 101402573329 is a prime.

It is a super-2 number, since 2×101404670481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101404670483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171002521 + ... + 171003113.

Almost surely, 2^101404670481 is an apocalyptic number.

101404670481 is the 318441-st square number.

101404670481 is the 159221-st centered octagonal number.

It is an amenable number.

101404670481 is a deficient number, since it is larger than the sum of its proper divisors (46140411658).

101404670481 is an frugal number, since it uses more digits than its factorization.

101404670481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 101404670481 by its sum of digits (36), we get a square (3650568137316 = 1910646²).

The spelling of 101404670481 in words is "one hundred one billion, four hundred four million, six hundred seventy thousand, four hundred eighty-one".