106610156616096 has 72 divisors (see below), whose sum is σ = 346483009008864. Its totient is φ = 30460044746880.

The previous prime is 106610156616071. The next prime is 106610156616097. The reversal of 106610156616096 is 690616651016601.

It is a happy number.

106610156616096 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 0 + 15 + 6 + 616 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106610156616096² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106610156616097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26441009050 + ... + 26441013081.

It is an arithmetic number, because the mean of its divisors is an integer number (4812264014012).

Almost surely, 2^{106610156616096} is an apocalyptic number.

106610156616096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106610156616096 is an abundant number, since it is smaller than the sum of its proper divisors (239872852392768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106610156616096 is a wasteful number, since it uses less digits than its factorization.

106610156616096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52882022154 (or 52882022143 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 106610156616096 in words is "one hundred six trillion, six hundred ten billion, one hundred fifty-six million, six hundred sixteen thousand, ninety-six".