106610505312 has 48 divisors (see below), whose sum is σ = 279898295040. Its totient is φ = 35531029632.

The previous prime is 106610505301. The next prime is 106610505343. The reversal of 106610505312 is 213505016601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106610505312² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106610505312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521389 + ... + 696467.

It is an arithmetic number, because the mean of its divisors is an integer number (5831214480).

Almost surely, 2^106610505312 is an apocalyptic number.

106610505312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106610505312 is an abundant number, since it is smaller than the sum of its proper divisors (173287789728).

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

106610505312 is a wasteful number, since it uses less digits than its factorization.

106610505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181435 (or 181427 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106610505312 in words is "one hundred six billion, six hundred ten million, five hundred five thousand, three hundred twelve".