100416614029 has 2 divisors, whose sum is σ = 100416614030. Its totient is φ = 100416614028.

The previous prime is 100416614021. The next prime is 100416614059. The reversal of 100416614029 is 920416614001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91024096804 + 9392517225 = 301702^2 + 96915^2 .

It is a cyclic number.

It is not a de Polignac number, because 100416614029 - 2³ = 100416614021 is a prime.

It is a super-2 number, since 2×100416614029² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100416613985 and 100416614003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100416614021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50208307014 + 50208307015.

It is an arithmetic number, because the mean of its divisors is an integer number (50208307015).

Almost surely, 2^100416614029 is an apocalyptic number.

It is an amenable number.

100416614029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100416614029 is an equidigital number, since it uses as much as digits as its factorization.

100416614029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 100416614029 in words is "one hundred billion, four hundred sixteen million, six hundred fourteen thousand, twenty-nine".