106217177472 has 256 divisors, whose sum is σ = 359333107200. Its totient is φ = 30257915904.

The previous prime is 106217177467. The next prime is 106217177491. The reversal of 106217177472 is 274771712601.

106217177472 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 1 + 7 + 177 + 472 = 666.

It is a super-2 number, since 2×106217177472² (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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8388298 + ... + 8400950.

It is an arithmetic number, because the mean of its divisors is an integer number (1403644950).

Almost surely, 2^106217177472 is an apocalyptic number.

106217177472 is a gapful number since it is divisible by the number (12) 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 106217177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179666553600).

106217177472 is an abundant number, since it is smaller than the sum of its proper divisors (253115929728).

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

106217177472 is a wasteful number, since it uses less digits than its factorization.

106217177472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13030 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 106217177472 in words is "one hundred six billion, two hundred seventeen million, one hundred seventy-seven thousand, four hundred seventy-two".