10100456 has 8 divisors (see below), whose sum is σ = 18938370. Its totient is φ = 5050224.

The previous prime is 10100449. The next prime is 10100459. The reversal of 10100456 is 65400101.

It is a happy number.

10100456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7107556 + 2992900 = 2666^2 + 1730^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×10100456² = 204038422815872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 631271 + ... + 631286.

Almost surely, 2^10100456 is an apocalyptic number.

It is an amenable number.

10100456 is a deficient number, since it is larger than the sum of its proper divisors (8837914).

10100456 is a wasteful number, since it uses less digits than its factorization.

10100456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262563 (or 1262559 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10100456 is about 3178.1214577168. The cubic root of 10100456 is about 216.1624863350.

Adding to 10100456 its reverse (65400101), we get a palindrome (75500557).

The spelling of 10100456 in words is "ten million, one hundred thousand, four hundred fifty-six".