101900 has 18 divisors (see below), whose sum is σ = 221340. Its totient is φ = 40720.

The previous prime is 101891. The next prime is 101917. The reversal of 101900 is 9101.

It is a super-2 number, since 2×101900² = 20767220000, which contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 410 + ... + 609.

2¹⁰¹⁹⁰⁰ is an apocalyptic number.

101900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101900 is an abundant number, since it is smaller than the sum of its proper divisors (119440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101900 is a wasteful number, since it uses less digits than its factorization.

101900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

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

The square root of 101900 is about 319.2177939902. The cubic root of 101900 is about 46.7080132428.

It can be divided in two parts, 101 and 900, that added together give a palindrome (1001).

The spelling of 101900 in words is "one hundred one thousand, nine hundred".