106546360284 has 864 divisors, whose sum is σ = 370042982400. Its totient is φ = 26747884800.

The previous prime is 106546360279. The next prime is 106546360289. The reversal of 106546360284 is 482063645601.

106546360284 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 6 + 360 + 284 = 666.

It is an interprime number because it is at equal distance from previous prime (106546360279) and next prime (106546360289).

It is a super-2 number, since 2×106546360284² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106546360289) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1746661614 + ... + 1746661674.

Almost surely, 2^106546360284 is an apocalyptic number.

106546360284 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 106546360284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185021491200).

106546360284 is an abundant number, since it is smaller than the sum of its proper divisors (263496622116).

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

106546360284 is a wasteful number, since it uses less digits than its factorization.

106546360284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 106546360284 in words is "one hundred six billion, five hundred forty-six million, three hundred sixty thousand, two hundred eighty-four".