100416511124 has 24 divisors (see below), whose sum is σ = 176367504768. Its totient is φ = 50025872160.

The previous prime is 100416511123. The next prime is 100416511171. The reversal of 100416511124 is 421115614001.

100416511124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100416511093 and 100416511102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416511121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8891009 + ... + 8902295.

It is an arithmetic number, because the mean of its divisors is an integer number (7348646032).

Almost surely, 2^100416511124 is an apocalyptic number.

It is an amenable number.

100416511124 is a deficient number, since it is larger than the sum of its proper divisors (75950993644).

100416511124 is a wasteful number, since it uses less digits than its factorization.

100416511124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19175 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 100416511124 in words is "one hundred billion, four hundred sixteen million, five hundred eleven thousand, one hundred twenty-four".