106764503130 has 192 divisors, whose sum is σ = 303803136000. Its totient is φ = 25896775680.

The previous prime is 106764503123. The next prime is 106764503143. The reversal of 106764503130 is 31305467601.

106764503130 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 645 + 0 + 3 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×106764503130² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 66353766 + ... + 66355374.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308000).

Almost surely, 2^106764503130 is an apocalyptic number.

106764503130 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 106764503130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568000).

106764503130 is an abundant number, since it is smaller than the sum of its proper divisors (197038632870).

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

106764503130 is a wasteful number, since it uses less digits than its factorization.

106764503130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 106764503130 in words is "one hundred six billion, seven hundred sixty-four million, five hundred three thousand, one hundred thirty".