100416616643 has 12 divisors (see below), whose sum is σ = 118411323480. Its totient is φ = 84892322592.

The previous prime is 100416616613. The next prime is 100416616649. The reversal of 100416616643 is 346616614001.

It is a happy number.

It is not a de Polignac number, because 100416616643 - 2¹⁴ = 100416600259 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100416616597 and 100416616606.

It is not an unprimeable number, because it can be changed into a prime (100416616649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14032853 + ... + 14040006.

It is an arithmetic number, because the mean of its divisors is an integer number (9867610290).

Almost surely, 2^100416616643 is an apocalyptic number.

100416616643 is a deficient number, since it is larger than the sum of its proper divisors (17994706837).

100416616643 is an equidigital number, since it uses as much as digits as its factorization.

100416616643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28072946 (or 28072939 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 100416616643 in words is "one hundred billion, four hundred sixteen million, six hundred sixteen thousand, six hundred forty-three".