100228667 has 24 divisors (see below), whose sum is σ = 133899840. Its totient is φ = 73982160.

The previous prime is 100228649. The next prime is 100228679. The reversal of 100228667 is 766822001.

It is not a de Polignac number, because 100228667 - 2¹⁶ = 100163131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100228607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (5579160).

Almost surely, 2^100228667 is an apocalyptic number.

100228667 is a deficient number, since it is larger than the sum of its proper divisors (33671173).

100228667 is a wasteful number, since it uses less digits than its factorization.

100228667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9831 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 100228667 is about 10011.4268213876. The cubic root of 100228667 is about 464.5124067655.

The spelling of 100228667 in words is "one hundred million, two hundred twenty-eight thousand, six hundred sixty-seven".