106567496743680 has 3456 divisors, whose sum is σ = 492169162383360. Its totient is φ = 21662159339520.

The previous prime is 106567496743447. The next prime is 106567496743759. The reversal of 106567496743680 is 86347694765601.

106567496743680 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 7 + 496 + 74 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×106567496743680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106567496743599 and 106567496743608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38375042452 + ... + 38375045228.

It is an arithmetic number, because the mean of its divisors is an integer number (142410058560).

Almost surely, 2^{106567496743680} is an apocalyptic number.

106567496743680 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 106567496743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246084581191680).

106567496743680 is an abundant number, since it is smaller than the sum of its proper divisors (385601665639680).

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

106567496743680 is a wasteful number, since it uses less digits than its factorization.

106567496743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 106567496743680 in words is "one hundred six trillion, five hundred sixty-seven billion, four hundred ninety-six million, seven hundred forty-three thousand, six hundred eighty".