106581761 has 12 divisors (see below), whose sum is σ = 126165396. Its totient is φ = 89437920.

The previous prime is 106581749. The next prime is 106581763. The reversal of 106581761 is 167185601.

It can be written as a sum of positive squares in 2 ways, for example, as 63600625 + 42981136 = 7975^2 + 6556^2 .

It is not a de Polignac number, because 106581761 - 2¹⁸ = 106319617 is a prime.

It is a super-2 number, since 2×106581761² = 22719343555722242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106581763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32306 + ... + 35451.

It is an arithmetic number, because the mean of its divisors is an integer number (10513783).

Almost surely, 2^106581761 is an apocalyptic number.

106581761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106581761 is a deficient number, since it is larger than the sum of its proper divisors (19583635).

106581761 is a wasteful number, since it uses less digits than its factorization.

106581761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67792 (or 67781 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 106581761 is about 10323.8442936728. The cubic root of 106581761 is about 474.1265736976.

The spelling of 106581761 in words is "one hundred six million, five hundred eighty-one thousand, seven hundred sixty-one".