105010600601061 has 32 divisors (see below), whose sum is σ = 156803819110400. Its totient is φ = 69452468895600.

The previous prime is 105010600601029. The next prime is 105010600601141. The reversal of 105010600601061 is 160106006010501.

105010600601061 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 0 + 6 + 0 + 0 + 601 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 105010600601061 - 2⁵ = 105010600601029 is a prime.

It is a super-2 number, since 2×105010600601061² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010600601021) 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, 71137836 + ... + 72598986.

It is an arithmetic number, because the mean of its divisors is an integer number (4900119347200).

Almost surely, 2^{105010600601061} is an apocalyptic number.

It is an amenable number.

105010600601061 is a deficient number, since it is larger than the sum of its proper divisors (51793218509339).

105010600601061 is a wasteful number, since it uses less digits than its factorization.

105010600601061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482246 (or 1482240 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 105010600601061 its reverse (160106006010501), we get a palindrome (265116606611562).

The spelling of 105010600601061 in words is "one hundred five trillion, ten billion, six hundred million, six hundred one thousand, sixty-one".