101409516 has 48 divisors (see below), whose sum is σ = 283141600. Its totient is φ = 31202496.

The previous prime is 101409509. The next prime is 101409521. The reversal of 101409516 is 615904101.

101409516 is a `hidden beast` number, since 1 + 0 + 140 + 9 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101409516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34711 + ... + 37518.

Almost surely, 2^101409516 is an apocalyptic number.

It is an amenable number.

101409516 is an abundant number, since it is smaller than the sum of its proper divisors (181732084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101409516 is a wasteful number, since it uses less digits than its factorization.

101409516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72255 (or 72247 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101409516 is about 10070.2291930224. The cubic root of 101409516 is about 466.3295145266.

The spelling of 101409516 in words is "one hundred one million, four hundred nine thousand, five hundred sixteen".