106117247500 has 120 divisors (see below), whose sum is σ = 254438553600. Its totient is φ = 38392200000.

The previous prime is 106117247473. The next prime is 106117247531. The reversal of 106117247500 is 5742711601.

106117247500 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 2×106117247500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5462805 + ... + 5482195.

It is an arithmetic number, because the mean of its divisors is an integer number (2120321280).

Almost surely, 2^106117247500 is an apocalyptic number.

106117247500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106117247500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127219276800).

106117247500 is an abundant number, since it is smaller than the sum of its proper divisors (148321306100).

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

106117247500 is a wasteful number, since it uses less digits than its factorization.

106117247500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19625 (or 19608 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 106117247500 in words is "one hundred six billion, one hundred seventeen million, two hundred forty-seven thousand, five hundred".