106001623773 has 48 divisors (see below), whose sum is σ = 160663875840. Its totient is φ = 67218446592.

The previous prime is 106001623753. The next prime is 106001623813. The reversal of 106001623773 is 377326100601.

106001623773 is a `hidden beast` number, since 1 + 0 + 600 + 16 + 2 + 37 + 7 + 3 = 666.

It is not a de Polignac number, because 106001623773 - 2⁶ = 106001623709 is a prime.

It is a super-2 number, since 2×106001623773² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106001623753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29500465 + ... + 29504057.

It is an arithmetic number, because the mean of its divisors is an integer number (3347164080).

Almost surely, 2^106001623773 is an apocalyptic number.

It is an amenable number.

106001623773 is a deficient number, since it is larger than the sum of its proper divisors (54662252067).

106001623773 is a wasteful number, since it uses less digits than its factorization.

106001623773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 106001623773 in words is "one hundred six billion, one million, six hundred twenty-three thousand, seven hundred seventy-three".