106105484471680 has 128 divisors (see below), whose sum is σ = 267441639516000. Its totient is φ = 40143223701504.

The previous prime is 106105484471671. The next prime is 106105484471729. The reversal of 106105484471680 is 86174484501601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106105484471680² (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 15 ways as a sum of consecutive naturals, for example, 431586 + ... + 14573854.

Almost surely, 2^{106105484471680} is an apocalyptic number.

106105484471680 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 106105484471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133720819758000).

106105484471680 is an abundant number, since it is smaller than the sum of its proper divisors (161336155044320).

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

106105484471680 is a wasteful number, since it uses less digits than its factorization.

106105484471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14142924 (or 14142912 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 106105484471680 in words is "one hundred six trillion, one hundred five billion, four hundred eighty-four million, four hundred seventy-one thousand, six hundred eighty".