101005300 has 36 divisors (see below), whose sum is σ = 239109696. Its totient is φ = 36728800.

The previous prime is 101005291. The next prime is 101005327. The reversal of 101005300 is 3500101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 44812 + ... + 47011.

It is an arithmetic number, because the mean of its divisors is an integer number (6641936).

Almost surely, 2^101005300 is an apocalyptic number.

101005300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005300 is an abundant number, since it is smaller than the sum of its proper divisors (138104396).

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

101005300 is a wasteful number, since it uses less digits than its factorization.

101005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91848 (or 91841 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 101005300 is about 10050.1393025172. The cubic root of 101005300 is about 465.7090965621.

Adding to 101005300 its reverse (3500101), we get a palindrome (104505401).

It can be divided in two parts, 10100 and 5300, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 101005300 in words is "one hundred one million, five thousand, three hundred".