106506054 has 96 divisors (see below), whose sum is σ = 262491840. Its totient is φ = 31021056.

The previous prime is 106506053. The next prime is 106506079. The reversal of 106506054 is 450605601.

It is a happy number.

106506054 is a `hidden beast` number, since 1 + 0 + 6 + 50 + 605 + 4 = 666.

It is a super-2 number, since 2×106506054² = 22687079077301832, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260202 + ... + 260610.

It is an arithmetic number, because the mean of its divisors is an integer number (2734290).

Almost surely, 2^106506054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106506054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131245920).

106506054 is an abundant number, since it is smaller than the sum of its proper divisors (155985786).

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

106506054 is a wasteful number, since it uses less digits than its factorization.

106506054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106506054 is about 10320.1770333653. The cubic root of 106506054 is about 474.0142868097.

The spelling of 106506054 in words is "one hundred six million, five hundred six thousand, fifty-four".