101749329 has 24 divisors (see below), whose sum is σ = 161201664. Its totient is φ = 61332000.

The previous prime is 101749289. The next prime is 101749337. The reversal of 101749329 is 923947101.

It is not a de Polignac number, because 101749329 - 2¹² = 101745233 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101749293 and 101749302.

It is not an unprimeable number, because it can be changed into a prime (101749829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16219 + ... + 21599.

It is an arithmetic number, because the mean of its divisors is an integer number (6716736).

Almost surely, 2^101749329 is an apocalyptic number.

It is an amenable number.

101749329 is a deficient number, since it is larger than the sum of its proper divisors (59452335).

101749329 is a wasteful number, since it uses less digits than its factorization.

101749329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 101749329 is about 10087.0872406260. The cubic root of 101749329 is about 466.8498081061.

It can be divided in two parts, 10174 and 9329, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 101749329 in words is "one hundred one million, seven hundred forty-nine thousand, three hundred twenty-nine".