101465329 has 9 divisors (see below), whose sum is σ = 118113177. Its totient is φ = 86909844.

The previous prime is 101465317. The next prime is 101465341. The reversal of 101465329 is 923564101.

The square root of 101465329 is 10073.

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

It is an interprime number because it is at equal distance from previous prime (101465317) and next prime (101465341).

It is not a de Polignac number, because 101465329 - 2²⁵ = 67910897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101465329.

It is not an unprimeable number, because it can be changed into a prime (101465369) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 69792 + ... + 71230.

Almost surely, 2^101465329 is an apocalyptic number.

101465329 is the 10073-rd square number.

101465329 is the 5037-th centered octagonal number.

It is an amenable number.

101465329 is a deficient number, since it is larger than the sum of its proper divisors (16647848).

101465329 is an frugal number, since it uses more digits than its factorization.

101465329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 101465329 is about 466.4150504697.

The spelling of 101465329 in words is "one hundred one million, four hundred sixty-five thousand, three hundred twenty-nine".