106000105554 has 96 divisors (see below), whose sum is σ = 265331589120. Its totient is φ = 29958012000.

The previous prime is 106000105513. The next prime is 106000105567. The reversal of 106000105554 is 455501000601.

It is a happy number.

106000105554 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 0 + 105 + 554 = 666.

It is a super-2 number, since 2×106000105554² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4535559 + ... + 4558869.

It is an arithmetic number, because the mean of its divisors is an integer number (2763870720).

Almost surely, 2^106000105554 is an apocalyptic number.

106000105554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106000105554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132665794560).

106000105554 is an abundant number, since it is smaller than the sum of its proper divisors (159331483566).

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

106000105554 is a wasteful number, since it uses less digits than its factorization.

106000105554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23716 (or 23713 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 106000105554 in words is "one hundred six billion, one hundred five thousand, five hundred fifty-four".