106418967072 has 48 divisors (see below), whose sum is σ = 304745226912. Its totient is φ = 32248171520.

The previous prime is 106418967071. The next prime is 106418967089. The reversal of 106418967072 is 270769814601.

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

It is a super-2 number, since 2×106418967072² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106418967071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50386713 + ... + 50388824.

It is an arithmetic number, because the mean of its divisors is an integer number (6348858894).

Almost surely, 2^106418967072 is an apocalyptic number.

106418967072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106418967072 is an abundant number, since it is smaller than the sum of its proper divisors (198326259840).

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

106418967072 is a wasteful number, since it uses less digits than its factorization.

106418967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100775561 (or 100775553 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 106418967072 in words is "one hundred six billion, four hundred eighteen million, nine hundred sixty-seven thousand, seventy-two".