106754060160 has 1344 divisors, whose sum is σ = 441270506880. Its totient is φ = 24634368000.

The previous prime is 106754060111. The next prime is 106754060167. The reversal of 106754060160 is 61060457601.

106754060160 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 40 + 601 + 6 + 0 = 666.

It is a super-2 number, since 2×106754060160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106754060167) 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 167 ways as a sum of consecutive naturals, for example, 1750066530 + ... + 1750066590.

It is an arithmetic number, because the mean of its divisors is an integer number (328326270).

Almost surely, 2^106754060160 is an apocalyptic number.

106754060160 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 106754060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220635253440).

106754060160 is an abundant number, since it is smaller than the sum of its proper divisors (334516446720).

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

106754060160 is an equidigital number, since it uses as much as digits as its factorization.

106754060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 106754060160 in words is "one hundred six billion, seven hundred fifty-four million, sixty thousand, one hundred sixty".