106348577153 has 32 divisors (see below), whose sum is σ = 138764666880. Its totient is φ = 79228730880.

The previous prime is 106348577147. The next prime is 106348577177. The reversal of 106348577153 is 351775843601.

It is not a de Polignac number, because 106348577153 - 2¹⁰ = 106348576129 is a prime.

It is a super-2 number, since 2×106348577153² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106348577183) 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, 405068 + ... + 613821.

It is an arithmetic number, because the mean of its divisors is an integer number (4336395840).

Almost surely, 2^106348577153 is an apocalyptic number.

106348577153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106348577153 is a deficient number, since it is larger than the sum of its proper divisors (32416089727).

106348577153 is a wasteful number, since it uses less digits than its factorization.

106348577153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018977.

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 106348577153 in words is "one hundred six billion, three hundred forty-eight million, five hundred seventy-seven thousand, one hundred fifty-three".