106748619258240 has 1024 divisors, whose sum is σ = 393965155123200. Its totient is φ = 27287484456960.

The previous prime is 106748619258227. The next prime is 106748619258257. The reversal of 106748619258240 is 42852916847601.

It is a happy number.

106748619258240 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 8 + 6 + 1 + 9 + 2 + 582 + 40 = 666.

It is a super-2 number, since 2×106748619258240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83202352639 + ... + 83202353921.

It is an arithmetic number, because the mean of its divisors is an integer number (384731596800).

Almost surely, 2^{106748619258240} is an apocalyptic number.

106748619258240 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 106748619258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196982577561600).

106748619258240 is an abundant number, since it is smaller than the sum of its proper divisors (287216535864960).

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

106748619258240 is a wasteful number, since it uses less digits than its factorization.

106748619258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 106748619258240 in words is "one hundred six trillion, seven hundred forty-eight billion, six hundred nineteen million, two hundred fifty-eight thousand, two hundred forty".