106516611165 has 32 divisors (see below), whose sum is σ = 177105024000. Its totient is φ = 54607311360.

The previous prime is 106516611137. The next prime is 106516611167. The reversal of 106516611165 is 561116615601.

It is not a de Polignac number, because 106516611165 - 2¹² = 106516607069 is a prime.

It is a super-2 number, since 2×106516611165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106516611167) 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, 699400 + ... + 837969.

It is an arithmetic number, because the mean of its divisors is an integer number (5534532000).

Almost surely, 2^106516611165 is an apocalyptic number.

106516611165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106516611165 is a deficient number, since it is larger than the sum of its proper divisors (70588412835).

106516611165 is a wasteful number, since it uses less digits than its factorization.

106516611165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537557.

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 106516611165 in words is "one hundred six billion, five hundred sixteen million, six hundred eleven thousand, one hundred sixty-five".