101530800 has 480 divisors, whose sum is σ = 442828800. Its totient is φ = 21565440.

The previous prime is 101530789. The next prime is 101530843. The reversal of 101530800 is 8035101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285161 + ... + 1285239.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^101530800 is an apocalyptic number.

101530800 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 101530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

101530800 is an abundant number, since it is smaller than the sum of its proper divisors (341298000).

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

101530800 is a wasteful number, since it uses less digits than its factorization.

101530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101530800 is about 10076.2493021957. The cubic root of 101530800 is about 466.5153477648.

Adding to 101530800 its reverse (8035101), we get a palindrome (109565901).

The spelling of 101530800 in words is "one hundred one million, five hundred thirty thousand, eight hundred".