106005116501 has 2 divisors, whose sum is σ = 106005116502. Its totient is φ = 106005116500.

The previous prime is 106005116491. The next prime is 106005116543. The reversal of 106005116501 is 105611500601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91808394001 + 14196722500 = 302999^2 + 119150^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005116501 - 2³⁴ = 88825247317 is a prime.

It is a super-2 number, since 2×106005116501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106005116551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002558250 + 53002558251.

It is an arithmetic number, because the mean of its divisors is an integer number (53002558251).

Almost surely, 2^106005116501 is an apocalyptic number.

It is an amenable number.

106005116501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005116501 is an equidigital number, since it uses as much as digits as its factorization.

106005116501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 106005116501 in words is "one hundred six billion, five million, one hundred sixteen thousand, five hundred one".