106546156626 has 256 divisors, whose sum is σ = 297851904000. Its totient is φ = 24580288512.

The previous prime is 106546156621. The next prime is 106546156631. The reversal of 106546156626 is 626651645601.

It is an interprime number because it is at equal distance from previous prime (106546156621) and next prime (106546156631).

It is a super-2 number, since 2×106546156626² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106546156621) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 9341275 + ... + 9352673.

It is an arithmetic number, because the mean of its divisors is an integer number (1163484000).

Almost surely, 2^106546156626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106546156626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952000).

106546156626 is an abundant number, since it is smaller than the sum of its proper divisors (191305747374).

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

106546156626 is a wasteful number, since it uses less digits than its factorization.

106546156626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 106546156626 in words is "one hundred six billion, five hundred forty-six million, one hundred fifty-six thousand, six hundred twenty-six".