106907278464 has 512 divisors, whose sum is σ = 369755712000. Its totient is φ = 30152466432.

The previous prime is 106907278459. The next prime is 106907278493. The reversal of 106907278464 is 464872709601.

106907278464 is a `hidden beast` number, since 106 + 9 + 0 + 7 + 2 + 78 + 464 = 666.

It is a super-2 number, since 2×106907278464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 106907278464.

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, 174399822 + ... + 174400434.

It is an arithmetic number, because the mean of its divisors is an integer number (722179125).

Almost surely, 2^106907278464 is an apocalyptic number.

106907278464 is a gapful number since it is divisible by the number (14) 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 106907278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184877856000).

106907278464 is an abundant number, since it is smaller than the sum of its proper divisors (262848433536).

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

106907278464 is an frugal number, since it uses more digits than its factorization.

106907278464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 106907278464 in words is "one hundred six billion, nine hundred seven million, two hundred seventy-eight thousand, four hundred sixty-four".