106541652 has 48 divisors (see below), whose sum is σ = 300827520. Its totient is φ = 28649472.

The previous prime is 106541647. The next prime is 106541653. The reversal of 106541652 is 256145601.

It is a super-2 number, since 2×106541652² = 22702247221778208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106541653) 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 15 ways as a sum of consecutive naturals, for example, 35877 + ... + 38732.

It is an arithmetic number, because the mean of its divisors is an integer number (6267240).

Almost surely, 2^106541652 is an apocalyptic number.

106541652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106541652 is an abundant number, since it is smaller than the sum of its proper divisors (194285868).

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

106541652 is a wasteful number, since it uses less digits than its factorization.

106541652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74640 (or 74638 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 106541652 is about 10321.9015689940. The cubic root of 106541652 is about 474.0670915732.

The spelling of 106541652 in words is "one hundred six million, five hundred forty-one thousand, six hundred fifty-two".