100105558432 has 192 divisors, whose sum is σ = 232794777600. Its totient is φ = 41894702080.

The previous prime is 100105558429. The next prime is 100105558447. The reversal of 100105558432 is 234855501001.

It is a super-2 number, since 2×100105558432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151904919 + ... + 151905577.

It is an arithmetic number, because the mean of its divisors is an integer number (1212472800).

Almost surely, 2^100105558432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105558432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116397388800).

100105558432 is an abundant number, since it is smaller than the sum of its proper divisors (132689219168).

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

100105558432 is a wasteful number, since it uses less digits than its factorization.

100105558432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 100105558432 in words is "one hundred billion, one hundred five million, five hundred fifty-eight thousand, four hundred thirty-two".