106079308860384 has 144 divisors (see below), whose sum is σ = 307731931913952. Its totient is φ = 34655475400704.

The previous prime is 106079308860383. The next prime is 106079308860451. The reversal of 106079308860384 is 483068803970601.

106079308860384 is a `hidden beast` number, since 10 + 6 + 0 + 7 + 9 + 3 + 0 + 8 + 8 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106079308860384² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106079308860383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15555729 + ... + 21310544.

It is an arithmetic number, because the mean of its divisors is an integer number (2137027304958).

Almost surely, 2^{106079308860384} is an apocalyptic number.

It is an amenable number.

106079308860384 is an abundant number, since it is smaller than the sum of its proper divisors (201652623053568).

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

106079308860384 is a wasteful number, since it uses less digits than its factorization.

106079308860384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36866489 (or 36866478 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 106079308860384 in words is "one hundred six trillion, seventy-nine billion, three hundred eight million, eight hundred sixty thousand, three hundred eighty-four".