106866764359680 has 768 divisors, whose sum is σ = 386936728738560. Its totient is φ = 24999326908416.

The previous prime is 106866764359657. The next prime is 106866764359703. The reversal of 106866764359680 is 86953467668601.

It is an interprime number because it is at equal distance from previous prime (106866764359657) and next prime (106866764359703).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×106866764359680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635297664 + ... + 635465856.

It is an arithmetic number, because the mean of its divisors is an integer number (503823865545).

Almost surely, 2^{106866764359680} is an apocalyptic number.

106866764359680 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 106866764359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193468364369280).

106866764359680 is an abundant number, since it is smaller than the sum of its proper divisors (280069964378880).

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

106866764359680 is a wasteful number, since it uses less digits than its factorization.

106866764359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168316 (or 168296 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 75.

The spelling of 106866764359680 in words is "one hundred six trillion, eight hundred sixty-six billion, seven hundred sixty-four million, three hundred fifty-nine thousand, six hundred eighty".