106253313312 has 48 divisors (see below), whose sum is σ = 293594686560. Its totient is φ = 33553677312.

The previous prime is 106253313301. The next prime is 106253313323. The reversal of 106253313312 is 213313352601.

It is an interprime number because it is at equal distance from previous prime (106253313301) and next prime (106253313323).

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

It is a super-2 number, since 2×106253313312² (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 106253313312.

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, 29124633 + ... + 29128280.

It is an arithmetic number, because the mean of its divisors is an integer number (6116555970).

Almost surely, 2^106253313312 is an apocalyptic number.

106253313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106253313312 is an abundant number, since it is smaller than the sum of its proper divisors (187341373248).

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

106253313312 is a wasteful number, since it uses less digits than its factorization.

106253313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58252945 (or 58252937 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 106253313312 its reverse (213313352601), we get a palindrome (319566665913).

The spelling of 106253313312 in words is "one hundred six billion, two hundred fifty-three million, three hundred thirteen thousand, three hundred twelve".