101018400 has 216 divisors, whose sum is σ = 382944240. Its totient is φ = 23063040.

The previous prime is 101018381. The next prime is 101018413. The reversal of 101018400 is 4810101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101018400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117171 + ... + 118029.

It is an arithmetic number, because the mean of its divisors is an integer number (1772890).

Almost surely, 2^101018400 is an apocalyptic number.

101018400 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 101018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191472120).

101018400 is an abundant number, since it is smaller than the sum of its proper divisors (281925840).

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

101018400 is a wasteful number, since it uses less digits than its factorization.

101018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 101018400 is about 10050.7910136466. The cubic root of 101018400 is about 465.7292292530.

Adding to 101018400 its reverse (4810101), we get a palindrome (105828501).

The spelling of 101018400 in words is "one hundred one million, eighteen thousand, four hundred".