100901 has 8 divisors (see below), whose sum is σ = 108864. Its totient is φ = 93280.

The previous prime is 100853. The next prime is 100907. The reversal of 100901 is 109001.

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 100901 - 2¹⁰ = 99877 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2¹⁰⁰⁹⁰¹ is an apocalyptic number.

It is an amenable number.

100901 is a deficient number, since it is larger than the sum of its proper divisors (7963).

100901 is a wasteful number, since it uses less digits than its factorization.

100901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100901 is about 317.6491775528. The cubic root of 100901 is about 46.5548741321.

Adding to 100901 its reverse (109001), we get a palindrome (209902).

Subtracting 100901 from its reverse (109001), we obtain a square (8100 = 90²).

It can be divided in two parts, 100 and 901, that multiplied together give a triangular number (90100 = T₄₂₄).

The spelling of 100901 in words is "one hundred thousand, nine hundred one".