101908921 has 8 divisors (see below), whose sum is σ = 103109760. Its totient is φ = 100712352.

The previous prime is 101908909. The next prime is 101908967. The reversal of 101908921 is 129809101.

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 101908921 - 2⁵ = 101908889 is a prime.

It is a super-3 number, since 3×101908921³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101908021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82716 + ... + 83938.

It is an arithmetic number, because the mean of its divisors is an integer number (12888720).

Almost surely, 2^101908921 is an apocalyptic number.

It is an amenable number.

101908921 is a deficient number, since it is larger than the sum of its proper divisors (1200839).

101908921 is a wasteful number, since it uses less digits than its factorization.

101908921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135.

The product of its (nonzero) digits is 1296, while the sum is 31.

The square root of 101908921 is about 10094.9948489338. The cubic root of 101908921 is about 467.0937624585.

The spelling of 101908921 in words is "one hundred one million, nine hundred eight thousand, nine hundred twenty-one".