106118288048 has 40 divisors (see below), whose sum is σ = 217881679680. Its totient is φ = 49980008960.

The previous prime is 106118288041. The next prime is 106118288069. The reversal of 106118288048 is 840882811601.

106118288048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106118288048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106118287993 and 106118288011.

It is not an unprimeable number, because it can be changed into a prime (106118288041) 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, 2770040 + ... + 2808087.

It is an arithmetic number, because the mean of its divisors is an integer number (5447041992).

Almost surely, 2^106118288048 is an apocalyptic number.

It is an amenable number.

106118288048 is an abundant number, since it is smaller than the sum of its proper divisors (111763391632).

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

106118288048 is a wasteful number, since it uses less digits than its factorization.

106118288048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578205 (or 5578199 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 47.

The spelling of 106118288048 in words is "one hundred six billion, one hundred eighteen million, two hundred eighty-eight thousand, forty-eight".