105011606016501 has 16 divisors (see below), whose sum is σ = 140192638100928. Its totient is φ = 69919163696000.

The previous prime is 105011606016469. The next prime is 105011606016517. The reversal of 105011606016501 is 105610606110501.

It is a cyclic number.

It is not a de Polignac number, because 105011606016501 - 2⁵ = 105011606016469 is a prime.

It is a super-2 number, since 2×105011606016501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011606016001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51714550 + ... + 53706776.

It is an arithmetic number, because the mean of its divisors is an integer number (8762039881308).

Almost surely, 2^{105011606016501} is an apocalyptic number.

It is an amenable number.

105011606016501 is a deficient number, since it is larger than the sum of its proper divisors (35181032084427).

105011606016501 is a wasteful number, since it uses less digits than its factorization.

105011606016501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014452.

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 105011606016501 in words is "one hundred five trillion, eleven billion, six hundred six million, sixteen thousand, five hundred one".