101584405432 has 16 divisors (see below), whose sum is σ = 190487519640. Its totient is φ = 50787733536.

The previous prime is 101584405421. The next prime is 101584405453. The reversal of 101584405432 is 234504485101.

101584405432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101584405432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101584405391 and 101584405400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461043 + ... + 644770.

Almost surely, 2^101584405432 is an apocalyptic number.

It is an amenable number.

101584405432 is a deficient number, since it is larger than the sum of its proper divisors (88903114208).

101584405432 is a wasteful number, since it uses less digits than its factorization.

101584405432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117302 (or 1117298 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 101584405432 in words is "one hundred one billion, five hundred eighty-four million, four hundred five thousand, four hundred thirty-two".