87105435732 has 72 divisors (see below), whose sum is σ = 253864892736. Its totient is φ = 24667017984.

The previous prime is 87105435707. The next prime is 87105435773. The reversal of 87105435732 is 23753450178.

87105435732 is a `hidden beast` number, since 8 + 71 + 0 + 5 + 4 + 3 + 573 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500978 + ... + 1557929.

It is an arithmetic number, because the mean of its divisors is an integer number (3525901288).

Almost surely, 2^87105435732 is an apocalyptic number.

It is an amenable number.

87105435732 is an abundant number, since it is smaller than the sum of its proper divisors (166759457004).

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

87105435732 is a wasteful number, since it uses less digits than its factorization.

87105435732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059037 (or 3059032 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 87105435732 in words is "eighty-seven billion, one hundred five million, four hundred thirty-five thousand, seven hundred thirty-two".