106275088167120 has 240 divisors, whose sum is σ = 370152360107712. Its totient is φ = 28338001735680.

The previous prime is 106275088167119. The next prime is 106275088167173. The reversal of 106275088167120 is 21761880572601.

106275088167120 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 508 + 8 + 1 + 6 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106275088167120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 282878119 + ... + 283253561.

Almost surely, 2^{106275088167120} is an apocalyptic number.

106275088167120 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 106275088167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185076180053856).

106275088167120 is an abundant number, since it is smaller than the sum of its proper divisors (263877271940592).

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

106275088167120 is a wasteful number, since it uses less digits than its factorization.

106275088167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390032 (or 390014 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 106275088167120 in words is "one hundred six trillion, two hundred seventy-five billion, eighty-eight million, one hundred sixty-seven thousand, one hundred twenty".