106164413501 has 32 divisors (see below), whose sum is σ = 112354569600. Its totient is φ = 100204957440.

The previous prime is 106164413491. The next prime is 106164413533. The reversal of 106164413501 is 105314461601.

It is a cyclic number.

It is not a de Polignac number, because 106164413501 - 2²⁶ = 106097304637 is a prime.

It is a super-2 number, since 2×106164413501² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106164413101) 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, 54921131 + ... + 54923063.

It is an arithmetic number, because the mean of its divisors is an integer number (3511080300).

Almost surely, 2^106164413501 is an apocalyptic number.

It is an amenable number.

106164413501 is a deficient number, since it is larger than the sum of its proper divisors (6190156099).

106164413501 is a wasteful number, since it uses less digits than its factorization.

106164413501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 106164413501 in words is "one hundred six billion, one hundred sixty-four million, four hundred thirteen thousand, five hundred one".