106516700073 has 96 divisors (see below), whose sum is σ = 183323492352. Its totient is φ = 58317840000.

The previous prime is 106516700009. The next prime is 106516700099. The reversal of 106516700073 is 370007615601.

106516700073 is a `hidden beast` number, since 1 + 0 + 6 + 516 + 70 + 0 + 0 + 73 = 666.

It is not a de Polignac number, because 106516700073 - 2⁶ = 106516700009 is a prime.

It is a super-2 number, since 2×106516700073² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106516701073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96569440 + ... + 96570542.

It is an arithmetic number, because the mean of its divisors is an integer number (1909619712).

Almost surely, 2^106516700073 is an apocalyptic number.

It is an amenable number.

106516700073 is a deficient number, since it is larger than the sum of its proper divisors (76806792279).

106516700073 is a wasteful number, since it uses less digits than its factorization.

106516700073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 106516700073 in words is "one hundred six billion, five hundred sixteen million, seven hundred thousand, seventy-three".