100294456249 has 27 divisors (see below), whose sum is σ = 115447629063. Its totient is φ = 87072840192.

The previous prime is 100294456237. The next prime is 100294456277. The reversal of 100294456249 is 942654492001.

It is a happy number.

The square root of 100294456249 is 316693.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24851946025 + 75442510224 = 157645^2 + 274668^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100294456249 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100294456199 and 100294456208.

It is not an unprimeable number, because it can be changed into a prime (100294456279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69988437 + ... + 69989869.

Almost surely, 2^100294456249 is an apocalyptic number.

100294456249 is the 316693-rd square number.

100294456249 is the 158347-th centered octagonal number.

It is an amenable number.

100294456249 is a deficient number, since it is larger than the sum of its proper divisors (15153172814).

100294456249 is an frugal number, since it uses more digits than its factorization.

100294456249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 100294456249 in words is "one hundred billion, two hundred ninety-four million, four hundred fifty-six thousand, two hundred forty-nine".