101059200 has 432 divisors, whose sum is σ = 410032350. Its totient is φ = 23654400.

The previous prime is 101059193. The next prime is 101059201. The reversal of 101059200 is 2950101.

It can be written as a sum of positive squares in 3 ways, for example, as 75898944 + 25160256 = 8712^2 + 5016^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101059201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484786 + ... + 3484814.

Almost surely, 2^101059200 is an apocalyptic number.

101059200 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 101059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205016175).

101059200 is an abundant number, since it is smaller than the sum of its proper divisors (308973150).

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

101059200 is a wasteful number, since it uses less digits than its factorization.

101059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101059200 is about 10052.8204997404. The cubic root of 101059200 is about 465.7919214455.

The spelling of 101059200 in words is "one hundred one million, fifty-nine thousand, two hundred".