106027259184 has 360 divisors, whose sum is σ = 381732813072. Its totient is φ = 27160842240.

The previous prime is 106027259171. The next prime is 106027259189. The reversal of 106027259184 is 481952720601.

106027259184 is a `hidden beast` number, since 1 + 0 + 602 + 7 + 25 + 9 + 18 + 4 = 666.

It is a super-2 number, since 2×106027259184² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106027259189) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5656612 + ... + 5675324.

Almost surely, 2^106027259184 is an apocalyptic number.

106027259184 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 106027259184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190866406536).

106027259184 is an abundant number, since it is smaller than the sum of its proper divisors (275705553888).

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

106027259184 is a wasteful number, since it uses less digits than its factorization.

106027259184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18825 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 106027259184 its reverse (481952720601), we get a palindrome (587979979785).

The spelling of 106027259184 in words is "one hundred six billion, twenty-seven million, two hundred fifty-nine thousand, one hundred eighty-four".