100416505123 has 32 divisors (see below), whose sum is σ = 119161785600. Its totient is φ = 83634768000.

The previous prime is 100416505121. The next prime is 100416505129. The reversal of 100416505123 is 321505614001.

It is a cyclic number.

It is not a de Polignac number, because 100416505123 - 2¹ = 100416505121 is a prime.

It is a super-2 number, since 2×100416505123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100416505091 and 100416505100.

It is not an unprimeable number, because it can be changed into a prime (100416505121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852373 + ... + 963001.

It is an arithmetic number, because the mean of its divisors is an integer number (3723805800).

Almost surely, 2^100416505123 is an apocalyptic number.

100416505123 is a deficient number, since it is larger than the sum of its proper divisors (18745280477).

100416505123 is a wasteful number, since it uses less digits than its factorization.

100416505123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110803.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 100416505123 in words is "one hundred billion, four hundred sixteen million, five hundred five thousand, one hundred twenty-three".