106616055601 has 16 divisors (see below), whose sum is σ = 117700257600. Its totient is φ = 95765401600.

The previous prime is 106616055599. The next prime is 106616055731. The reversal of 106616055601 is 106550616601.

It is not a de Polignac number, because 106616055601 - 2¹ = 106616055599 is a prime.

It is a super-2 number, since 2×106616055601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106616055401) 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, 1340766 + ... + 1418056.

It is an arithmetic number, because the mean of its divisors is an integer number (7356266100).

Almost surely, 2^106616055601 is an apocalyptic number.

106616055601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106616055601 is a deficient number, since it is larger than the sum of its proper divisors (11084201999).

106616055601 is a wasteful number, since it uses less digits than its factorization.

106616055601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78800.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 106616055601 in words is "one hundred six billion, six hundred sixteen million, fifty-five thousand, six hundred one".