101281900 has 36 divisors (see below), whose sum is σ = 221751432. Its totient is φ = 40149760.

The previous prime is 101281889. The next prime is 101281907. The reversal of 101281900 is 9182101.

It is a super-2 number, since 2×101281900² = 20516046535220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101281907) 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 11 ways as a sum of consecutive naturals, for example, 6819 + ... + 15781.

It is an arithmetic number, because the mean of its divisors is an integer number (6159762).

Almost surely, 2^101281900 is an apocalyptic number.

101281900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101281900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110875716).

101281900 is an abundant number, since it is smaller than the sum of its proper divisors (120469532).

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

101281900 is a wasteful number, since it uses less digits than its factorization.

101281900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 101281900 is about 10063.8908976598. The cubic root of 101281900 is about 466.1338192556.

The spelling of 101281900 in words is "one hundred one million, two hundred eighty-one thousand, nine hundred".