101250 has 50 divisors (see below), whose sum is σ = 283503. Its totient is φ = 27000.

The previous prime is 101221. The next prime is 101267. The reversal of 101250 is 52101.

Adding to 101250 its reverse (52101), we get a palindrome (153351).

It can be divided in two parts, 101 and 250, that added together give a triangular number (351 = T_{26}).

It is a happy number.

101250 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 23409 + 77841 = 153^2 + 279^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=225.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 15.

It is a zygodrome in base 5.

It is an unprimeable number.

101250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 24 ways as a sum of consecutive naturals, for example, 20248 + ... + 20252.

2^{101250} is an apocalyptic number.

101250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101250

101250 is an abundant number, since it is smaller than the sum of its proper divisors (182253).

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

101250 is an frugal number, since it uses more digits than its factorization.

101250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 101250 is about 318.1980515339. The cubic root of 101250 is about 46.6084875893.

The spelling of 101250 in words is "one hundred one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 625 675 750 810 1125 1250 1350 1875 2025 2250 3375 3750 4050 5625 6750 10125 11250 16875 20250 33750 50625 101250

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