106005096464 has 10 divisors (see below), whose sum is σ = 205384874430. Its totient is φ = 53002548224.

The previous prime is 106005096433. The next prime is 106005096467. The reversal of 106005096464 is 464690500601.

It can be written as a sum of positive squares in only one way, i.e., 68100121600 + 37904974864 = 260960^2 + 194692^2 .

It is a super-2 number, since 2×106005096464² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005096467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3312659249 + ... + 3312659280.

It is an arithmetic number, because the mean of its divisors is an integer number (20538487443).

Almost surely, 2^106005096464 is an apocalyptic number.

It is an amenable number.

106005096464 is a deficient number, since it is larger than the sum of its proper divisors (99379777966).

106005096464 is an equidigital number, since it uses as much as digits as its factorization.

106005096464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625318537 (or 6625318531 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 106005096464 in words is "one hundred six billion, five million, ninety-six thousand, four hundred sixty-four".