106272420960 has 288 divisors, whose sum is σ = 367884387360. Its totient is φ = 25751584768.

The previous prime is 106272420911. The next prime is 106272420973. The reversal of 106272420960 is 69024272601.

It is a super-2 number, since 2×106272420960² (a number of 23 digits) contains 22 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 4009672 + ... + 4036088.

It is an arithmetic number, because the mean of its divisors is an integer number (1277376345).

Almost surely, 2^106272420960 is an apocalyptic number.

106272420960 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 106272420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942193680).

106272420960 is an abundant number, since it is smaller than the sum of its proper divisors (261611966400).

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

106272420960 is a wasteful number, since it uses less digits than its factorization.

106272420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26498 (or 26473 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 106272420960 in words is "one hundred six billion, two hundred seventy-two million, four hundred twenty thousand, nine hundred sixty".