101008073 has 8 divisors (see below), whose sum is σ = 104966400. Its totient is φ = 97081488.

The previous prime is 101008031. The next prime is 101008081. The reversal of 101008073 is 370800101.

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 101008073 - 2¹⁶ = 100942537 is a prime.

It is a super-3 number, since 3×101008073³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101008093) 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, 1343 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (13120800).

Almost surely, 2^101008073 is an apocalyptic number.

It is an amenable number.

101008073 is a deficient number, since it is larger than the sum of its proper divisors (3958327).

101008073 is a wasteful number, since it uses less digits than its factorization.

101008073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15871.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 101008073 is about 10050.2772598571. The cubic root of 101008073 is about 465.7133583831.

Adding to 101008073 its reverse (370800101), we get a palindrome (471808174).

The spelling of 101008073 in words is "one hundred one million, eight thousand, seventy-three".