106481761 has 9 divisors (see below), whose sum is σ = 113300499. Its totient is φ = 100053024.

The previous prime is 106481741. The next prime is 106481801. The reversal of 106481761 is 167184601.

The square root of 106481761 is 10319.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82901025 + 23580736 = 9105^2 + 4856^2 .

It is not a de Polignac number, because 106481761 - 2¹³ = 106473569 is a prime.

It is a super-2 number, since 2×106481761² = 22676730851322242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106481731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175120 + ... + 175726.

Almost surely, 2^106481761 is an apocalyptic number.

106481761 is the 10319-th square number.

106481761 is the 5160-th centered octagonal number.

It is an amenable number.

106481761 is a deficient number, since it is larger than the sum of its proper divisors (6818738).

106481761 is an frugal number, since it uses more digits than its factorization.

106481761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The cubic root of 106481761 is about 473.9782447124.

The spelling of 106481761 in words is "one hundred six million, four hundred eighty-one thousand, seven hundred sixty-one".