101039300 has 36 divisors (see below), whose sum is σ = 222274836. Its totient is φ = 39859200.

The previous prime is 101039291. The next prime is 101039333. The reversal of 101039300 is 3930101.

It can be written as a sum of positive squares in 6 ways, for example, as 4056196 + 96983104 = 2014^2 + 9848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (6174301).

Almost surely, 2^101039300 is an apocalyptic number.

101039300 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 101039300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111137418).

101039300 is an abundant number, since it is smaller than the sum of its proper divisors (121235536).

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

101039300 is a wasteful number, since it uses less digits than its factorization.

101039300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 101039300 is about 10051.8306790355. The cubic root of 101039300 is about 465.7613457442.

Adding to 101039300 its reverse (3930101), we get a palindrome (104969401).

The spelling of 101039300 in words is "one hundred one million, thirty-nine thousand, three hundred".