100270251 has 16 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 66470184.

The previous prime is 100270241. The next prime is 100270253. The reversal of 100270251 is 152072001.

It is not a de Polignac number, because 100270251 - 2⁶ = 100270187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100270253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5541 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^100270251 is an apocalyptic number.

100270251 is a deficient number, since it is larger than the sum of its proper divisors (49115349).

100270251 is a wasteful number, since it uses less digits than its factorization.

100270251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20935 (or 20929 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100270251 is about 10013.5034328650. The cubic root of 100270251 is about 464.5766385990.

It can be divided in two parts, 1002 and 70251, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 100270251 in words is "one hundred million, two hundred seventy thousand, two hundred fifty-one".