106245363542601 has 16 divisors (see below), whose sum is σ = 149283196997760. Its totient is φ = 67079867923200.

The previous prime is 106245363542579. The next prime is 106245363542609.

106245363542601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106245363542601 - 2¹⁸ = 106245363280457 is a prime.

It is a super-2 number, since 2×106245363542601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106245363542609) 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 15 ways as a sum of consecutive naturals, for example, 7622705296 + ... + 7622719233.

It is an arithmetic number, because the mean of its divisors is an integer number (9330199812360).

Almost surely, 2^{106245363542601} is an apocalyptic number.

It is an amenable number.

106245363542601 is a deficient number, since it is larger than the sum of its proper divisors (43037833455159).

106245363542601 is a wasteful number, since it uses less digits than its factorization.

106245363542601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15245424656.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 106245363542601 in words is "one hundred six trillion, two hundred forty-five billion, three hundred sixty-three million, five hundred forty-two thousand, six hundred one".