106541460 has 48 divisors (see below), whose sum is σ = 331464000. Its totient is φ = 28410912.

The previous prime is 106541459. The next prime is 106541467. The reversal of 106541460 is 64145601.

106541460 is a `hidden beast` number, since 1 + 0 + 654 + 1 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×106541460² = 22702165397863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106541467) 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, 98110 + ... + 99189.

It is an arithmetic number, because the mean of its divisors is an integer number (6905500).

Almost surely, 2^106541460 is an apocalyptic number.

106541460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106541460 is an abundant number, since it is smaller than the sum of its proper divisors (224922540).

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

106541460 is a wasteful number, since it uses less digits than its factorization.

106541460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197317 (or 197309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106541460 is about 10321.8922683779. The cubic root of 106541460 is about 474.0668067990.

The spelling of 106541460 in words is "one hundred six million, five hundred forty-one thousand, four hundred sixty".