100456147 has 16 divisors (see below), whose sum is σ = 114698592. Its totient is φ = 87160320.

The previous prime is 100456141. The next prime is 100456159. The reversal of 100456147 is 741654001.

It is a cyclic number.

It is not a de Polignac number, because 100456147 - 2¹¹ = 100454099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100456141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19243 + ... + 23899.

It is an arithmetic number, because the mean of its divisors is an integer number (7168662).

Almost surely, 2^100456147 is an apocalyptic number.

100456147 is a deficient number, since it is larger than the sum of its proper divisors (14242445).

100456147 is a wasteful number, since it uses less digits than its factorization.

100456147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 100456147 is about 10022.7814003898. The cubic root of 100456147 is about 464.8635619287.

The spelling of 100456147 in words is "one hundred million, four hundred fifty-six thousand, one hundred forty-seven".