205024101534 has 128 divisors (see below), whose sum is σ = 554706432000. Its totient is φ = 54826468704.

The previous prime is 205024101517. The next prime is 205024101587. The reversal of 205024101534 is 435101420502.

205024101534 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 24 + 101 + 534 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205024101498 and 205024101507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424137 + ... + 768075.

It is an arithmetic number, because the mean of its divisors is an integer number (4333644000).

Almost surely, 2^205024101534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205024101534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277353216000).

205024101534 is an abundant number, since it is smaller than the sum of its proper divisors (349682330466).

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

205024101534 is a wasteful number, since it uses less digits than its factorization.

205024101534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344059 (or 344053 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 205024101534 in words is "two hundred five billion, twenty-four million, one hundred one thousand, five hundred thirty-four".