106706332650 has 96 divisors (see below), whose sum is σ = 266552939520. Its totient is φ = 28249168320.

The previous prime is 106706332637. The next prime is 106706332651. The reversal of 106706332650 is 56233607601.

It is a super-2 number, since 2×106706332650² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106706332599 and 106706332608.

It is not an unprimeable number, because it can be changed into a prime (106706332651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12492081 + ... + 12500619.

It is an arithmetic number, because the mean of its divisors is an integer number (2776593120).

Almost surely, 2^106706332650 is an apocalyptic number.

106706332650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106706332650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133276469760).

106706332650 is an abundant number, since it is smaller than the sum of its proper divisors (159846606870).

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

106706332650 is a wasteful number, since it uses less digits than its factorization.

106706332650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 106706332650 in words is "one hundred six billion, seven hundred six million, three hundred thirty-two thousand, six hundred fifty".