101143249 has 9 divisors (see below), whose sum is σ = 103205713. Its totient is φ = 99121792.

The previous prime is 101143247. The next prime is 101143253. The reversal of 101143249 is 942341101.

It is a happy number.

The square root of 101143249 is 10057.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70140625 + 31002624 = 8375^2 + 5568^2 .

It is not a de Polignac number, because 101143249 - 2¹ = 101143247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101143241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 895017 + ... + 895129.

Almost surely, 2^101143249 is an apocalyptic number.

101143249 is the 10057-th square number.

101143249 is the 5029-th centered octagonal number.

It is an amenable number.

101143249 is a deficient number, since it is larger than the sum of its proper divisors (2062464).

101143249 is an frugal number, since it uses more digits than its factorization.

101143249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 101143249 is about 465.9210157353.

Multiplying 101143249 by its sum of digits (25), we get a square (2528581225 = 50285²).

The spelling of 101143249 in words is "one hundred one million, one hundred forty-three thousand, two hundred forty-nine".