106908258240 has 896 divisors, whose sum is σ = 442286745600. Its totient is φ = 24105848832.

The previous prime is 106908258239. The next prime is 106908258263. The reversal of 106908258240 is 42852809601.

106908258240 is a `hidden beast` number, since 1 + 0 + 69 + 0 + 8 + 2 + 582 + 4 + 0 = 666.

It is a super-2 number, since 2×106908258240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 680944242 + ... + 680944398.

It is an arithmetic number, because the mean of its divisors is an integer number (493623600).

Almost surely, 2^106908258240 is an apocalyptic number.

106908258240 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 106908258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221143372800).

106908258240 is an abundant number, since it is smaller than the sum of its proper divisors (335378487360).

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

106908258240 is an equidigital number, since it uses as much as digits as its factorization.

106908258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 106908258240 in words is "one hundred six billion, nine hundred eight million, two hundred fifty-eight thousand, two hundred forty".