106404441 has 32 divisors (see below), whose sum is σ = 168459648. Its totient is φ = 58890240.

The previous prime is 106404439. The next prime is 106404457. The reversal of 106404441 is 144404601.

It is not a de Polignac number, because 106404441 - 2¹ = 106404439 is a prime.

It is a super-2 number, since 2×106404441² = 22643810129044962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106404401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40335 + ... + 42891.

It is an arithmetic number, because the mean of its divisors is an integer number (5264364).

Almost surely, 2^106404441 is an apocalyptic number.

106404441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106404441 is a deficient number, since it is larger than the sum of its proper divisors (62055207).

106404441 is a wasteful number, since it uses less digits than its factorization.

106404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 106404441 is about 10315.2528325776. The cubic root of 106404441 is about 473.8634930667.

The spelling of 106404441 in words is "one hundred six million, four hundred four thousand, four hundred forty-one".