101434607424 has 84 divisors (see below), whose sum is σ = 301512329664. Its totient is φ = 33811530624.

The previous prime is 101434607423. The next prime is 101434607447. The reversal of 101434607424 is 424706434101.

101434607424 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 4 + 607 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434607423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3245592 + ... + 3276695.

It is an arithmetic number, because the mean of its divisors is an integer number (3589432496).

Almost surely, 2^101434607424 is an apocalyptic number.

It is an amenable number.

101434607424 is an abundant number, since it is smaller than the sum of its proper divisors (200077722240).

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

101434607424 is an frugal number, since it uses more digits than its factorization.

101434607424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522314 (or 6522292 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 101434607424 in words is "one hundred one billion, four hundred thirty-four million, six hundred seven thousand, four hundred twenty-four".