100564011534 has 64 divisors (see below), whose sum is σ = 234634982400. Its totient is φ = 28722365280.

The previous prime is 100564011517. The next prime is 100564011553. The reversal of 100564011534 is 435110465001.

It is a happy number.

It is a super-2 number, since 2×100564011534² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7263999 + ... + 7277829.

It is an arithmetic number, because the mean of its divisors is an integer number (3666171600).

Almost surely, 2^100564011534 is an apocalyptic number.

100564011534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100564011534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117317491200).

100564011534 is an abundant number, since it is smaller than the sum of its proper divisors (134070970866).

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

100564011534 is a wasteful number, since it uses less digits than its factorization.

100564011534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17390 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 100564011534 its reverse (435110465001), we get a palindrome (535674476535).

The spelling of 100564011534 in words is "one hundred billion, five hundred sixty-four million, eleven thousand, five hundred thirty-four".