106117121652 has 12 divisors (see below), whose sum is σ = 247606617216. Its totient is φ = 35372373880.

The previous prime is 106117121647. The next prime is 106117121657. The reversal of 106117121652 is 256121711601.

106117121652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106117121647) and next prime (106117121657).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×106117121652² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106117121657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4421546724 + ... + 4421546747.

It is an arithmetic number, because the mean of its divisors is an integer number (20633884768).

Almost surely, 2^106117121652 is an apocalyptic number.

106117121652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106117121652 is an abundant number, since it is smaller than the sum of its proper divisors (141489495564).

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

106117121652 is a wasteful number, since it uses less digits than its factorization.

106117121652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843093478 (or 8843093476 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 106117121652 in words is "one hundred six billion, one hundred seventeen million, one hundred twenty-one thousand, six hundred fifty-two".