101408769 has 72 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 51480000.

The previous prime is 101408767. The next prime is 101408789. The reversal of 101408769 is 967804101.

It is not a de Polignac number, because 101408769 - 2¹ = 101408767 is a prime.

It is a super-2 number, since 2×101408769² = 20567476860190722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101408761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403894 + ... + 404144.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^101408769 is an apocalyptic number.

It is an amenable number.

101408769 is a deficient number, since it is larger than the sum of its proper divisors (86817087).

101408769 is a wasteful number, since it uses less digits than its factorization.

101408769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101408769 is about 10070.1921034308. The cubic root of 101408769 is about 466.3283695026.

The spelling of 101408769 in words is "one hundred one million, four hundred eight thousand, seven hundred sixty-nine".