106556535330 has 192 divisors, whose sum is σ = 316004913792. Its totient is φ = 22849075200.

The previous prime is 106556535329. The next prime is 106556535359. The reversal of 106556535330 is 33535655601.

106556535330 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 2×106556535330² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 7915105 + ... + 7928555.

It is an arithmetic number, because the mean of its divisors is an integer number (1645858926).

Almost surely, 2^106556535330 is an apocalyptic number.

106556535330 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 106556535330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158002456896).

106556535330 is an abundant number, since it is smaller than the sum of its proper divisors (209448378462).

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

106556535330 is a wasteful number, since it uses less digits than its factorization.

106556535330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13809 (or 13802 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 42.

The spelling of 106556535330 in words is "one hundred six billion, five hundred fifty-six million, five hundred thirty-five thousand, three hundred thirty".