106881013261440 has 1280 divisors, whose sum is σ = 423133068758400. Its totient is φ = 25494357934080.

The previous prime is 106881013261423. The next prime is 106881013261457. The reversal of 106881013261440 is 44162310188601.

106881013261440 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 10 + 13 + 2 + 614 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106881013261423) and next prime (106881013261457).

It is a super-2 number, since 2×106881013261440² (a number of 29 digits) contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 8956753714 + ... + 8956765646.

Almost surely, 2^{106881013261440} is an apocalyptic number.

106881013261440 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 106881013261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211566534379200).

106881013261440 is an abundant number, since it is smaller than the sum of its proper divisors (316252055496960).

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

106881013261440 is a wasteful number, since it uses less digits than its factorization.

106881013261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 106881013261440 in words is "one hundred six trillion, eight hundred eighty-one billion, thirteen million, two hundred sixty-one thousand, four hundred forty".