100456521 has 8 divisors (see below), whose sum is σ = 146118624. Its totient is φ = 60882720.

The previous prime is 100456513. The next prime is 100456529. The reversal of 100456521 is 125654001.

It is an interprime number because it is at equal distance from previous prime (100456513) and next prime (100456529).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100456521 - 2³ = 100456513 is a prime.

It is a super-2 number, since 2×100456521² = 20183025222846882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100456491 and 100456500.

It is not an unprimeable number, because it can be changed into a prime (100456529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522036 + ... + 1522101.

It is an arithmetic number, because the mean of its divisors is an integer number (18264828).

Almost surely, 2^100456521 is an apocalyptic number.

100456521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100456521 is a deficient number, since it is larger than the sum of its proper divisors (45662103).

100456521 is a wasteful number, since it uses less digits than its factorization.

100456521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044151.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 100456521 is about 10022.8000578681. The cubic root of 100456521 is about 464.8641388264.

The spelling of 100456521 in words is "one hundred million, four hundred fifty-six thousand, five hundred twenty-one".