106651005660 has 144 divisors (see below), whose sum is σ = 325156628160. Its totient is φ = 28295654400.

The previous prime is 106651005653. The next prime is 106651005661. The reversal of 106651005660 is 66500156601.

It is a super-2 number, since 2×106651005660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106651005661) 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, 59216760 + ... + 59218560.

It is an arithmetic number, because the mean of its divisors is an integer number (2258032140).

Almost surely, 2^106651005660 is an apocalyptic number.

106651005660 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 106651005660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162578314080).

106651005660 is an abundant number, since it is smaller than the sum of its proper divisors (218505622500).

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

106651005660 is a wasteful number, since it uses less digits than its factorization.

106651005660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106651005660 in words is "one hundred six billion, six hundred fifty-one million, five thousand, six hundred sixty".