100775260032 has 128 divisors (see below), whose sum is σ = 269184854400. Its totient is φ = 33404037120.

The previous prime is 100775260021. The next prime is 100775260063. The reversal of 100775260032 is 230062577001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 100775259975 and 100775260002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72971982 + ... + 72973362.

It is an arithmetic number, because the mean of its divisors is an integer number (2103006675).

Almost surely, 2^100775260032 is an apocalyptic number.

100775260032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100775260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134592427200).

100775260032 is an abundant number, since it is smaller than the sum of its proper divisors (168409594368).

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

100775260032 is a wasteful number, since it uses less digits than its factorization.

100775260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 100775260032 in words is "one hundred billion, seven hundred seventy-five million, two hundred sixty thousand, thirty-two".