106415761 has 8 divisors (see below), whose sum is σ = 110661480. Its totient is φ = 102208512.

The previous prime is 106415753. The next prime is 106415773. The reversal of 106415761 is 167514601.

It can be written as a sum of positive squares in 4 ways, for example, as 1476225 + 104939536 = 1215^2 + 10244^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106415761 - 2³ = 106415753 is a prime.

It is a super-2 number, since 2×106415761² = 22648628378418242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106415731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3910 + ... + 15103.

It is an arithmetic number, because the mean of its divisors is an integer number (13832685).

Almost surely, 2^106415761 is an apocalyptic number.

It is an amenable number.

106415761 is a deficient number, since it is larger than the sum of its proper divisors (4245719).

106415761 is a wasteful number, since it uses less digits than its factorization.

106415761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19235.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 106415761 is about 10315.8015199983. The cubic root of 106415761 is about 473.8802967029.

The spelling of 106415761 in words is "one hundred six million, four hundred fifteen thousand, seven hundred sixty-one".