106202565202601 has 24 divisors (see below), whose sum is σ = 123681673440000. Its totient is φ = 90927733704864.

The previous prime is 106202565202579. The next prime is 106202565202607.

It is a happy number.

106202565202601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106202565202601 - 2⁶ = 106202565202537 is a prime.

It is a super-2 number, since 2×106202565202601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106202565202607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154272680 + ... + 154959558.

It is an arithmetic number, because the mean of its divisors is an integer number (5153403060000).

Almost surely, 2^{106202565202601} is an apocalyptic number.

It is an amenable number.

106202565202601 is a deficient number, since it is larger than the sum of its proper divisors (17479108237399).

106202565202601 is a wasteful number, since it uses less digits than its factorization.

106202565202601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690461 (or 690454 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 106202565202601 in words is "one hundred six trillion, two hundred two billion, five hundred sixty-five million, two hundred two thousand, six hundred one".