106461465 has 64 divisors (see below), whose sum is σ = 202521600. Its totient is φ = 47174400.

The previous prime is 106461449. The next prime is 106461491. The reversal of 106461465 is 564164601.

It is a happy number.

It is not a de Polignac number, because 106461465 - 2⁴ = 106461449 is a prime.

It is a super-2 number, since 2×106461465² = 22668087059892450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 90330 + ... + 91500.

It is an arithmetic number, because the mean of its divisors is an integer number (3164400).

Almost surely, 2^106461465 is an apocalyptic number.

106461465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106461465 is a deficient number, since it is larger than the sum of its proper divisors (96060135).

106461465 is a wasteful number, since it uses less digits than its factorization.

106461465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106461465 is about 10318.0165245070. The cubic root of 106461465 is about 473.9481285259.

The spelling of 106461465 in words is "one hundred six million, four hundred sixty-one thousand, four hundred sixty-five".