106505101165603 has 32 divisors (see below), whose sum is σ = 128094655610880. Its totient is φ = 86632161258240.

The previous prime is 106505101165559. The next prime is 106505101165633. The reversal of 106505101165603 is 306561101505601.

It is a cyclic number.

It is not a de Polignac number, because 106505101165603 - 2⁹ = 106505101165091 is a prime.

It is a super-2 number, since 2×106505101165603² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106505101165633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36648258 + ... + 39447496.

It is an arithmetic number, because the mean of its divisors is an integer number (4002957987840).

Almost surely, 2^{106505101165603} is an apocalyptic number.

106505101165603 is a deficient number, since it is larger than the sum of its proper divisors (21589554445277).

106505101165603 is a wasteful number, since it uses less digits than its factorization.

106505101165603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802907.

The product of its (nonzero) digits is 81000, while the sum is 40.

The spelling of 106505101165603 in words is "one hundred six trillion, five hundred five billion, one hundred one million, one hundred sixty-five thousand, six hundred three".