106753282352640 has 3600 divisors, whose sum is σ = 504843606191232. Its totient is φ = 21459271680000.

The previous prime is 106753282352413. The next prime is 106753282352683. The reversal of 106753282352640 is 46253282357601.

106753282352640 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 3 + 282 + 352 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×106753282352640² (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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 38112559240 + ... + 38112562040.

Almost surely, 2^{106753282352640} is an apocalyptic number.

106753282352640 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 106753282352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252421803095616).

106753282352640 is an abundant number, since it is smaller than the sum of its proper divisors (398090323838592).

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

106753282352640 is a wasteful number, since it uses less digits than its factorization.

106753282352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 106753282352640 in words is "one hundred six trillion, seven hundred fifty-three billion, two hundred eighty-two million, three hundred fifty-two thousand, six hundred forty".