106738554384 has 640 divisors, whose sum is σ = 396317491200. Its totient is φ = 26703198720.

The previous prime is 106738554383. The next prime is 106738554421. The reversal of 106738554384 is 483455837601.

106738554384 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 8 + 554 + 3 + 84 = 666.

It is a super-2 number, since 2×106738554384² (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 106738554384.

It is not an unprimeable number, because it can be changed into a prime (106738554383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104747827 + ... + 104748845.

It is an arithmetic number, because the mean of its divisors is an integer number (619246080).

Almost surely, 2^106738554384 is an apocalyptic number.

106738554384 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 106738554384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198158745600).

106738554384 is an abundant number, since it is smaller than the sum of its proper divisors (289578936816).

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

106738554384 is a wasteful number, since it uses less digits than its factorization.

106738554384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 106738554384 in words is "one hundred six billion, seven hundred thirty-eight million, five hundred fifty-four thousand, three hundred eighty-four".