101329065 has 24 divisors (see below), whose sum is σ = 176421960. Its totient is φ = 53800704.

The previous prime is 101329043. The next prime is 101329073. The reversal of 101329065 is 560923101.

It can be written as a sum of positive squares in 4 ways, for example, as 31573161 + 69755904 = 5619^2 + 8352^2 .

It is not a de Polignac number, because 101329065 - 2⁷ = 101328937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5389 + ... + 15221.

It is an arithmetic number, because the mean of its divisors is an integer number (7350915).

Almost surely, 2^101329065 is an apocalyptic number.

101329065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101329065 is a deficient number, since it is larger than the sum of its proper divisors (75092895).

101329065 is a wasteful number, since it uses less digits than its factorization.

101329065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 101329065 is about 10066.2339035013. The cubic root of 101329065 is about 466.2061644945.

The spelling of 101329065 in words is "one hundred one million, three hundred twenty-nine thousand, sixty-five".