216457101 has 48 divisors (see below), whose sum is σ = 381888000. Its totient is φ = 115388064.

The previous prime is 216457091. The next prime is 216457103. The reversal of 216457101 is 101754612.

It is a happy number.

216457101 is a `hidden beast` number, since 2 + 1 + 645 + 7 + 10 + 1 = 666.

It is not a de Polignac number, because 216457101 - 2⁵ = 216457069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216457103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78850 + ... + 81548.

It is an arithmetic number, because the mean of its divisors is an integer number (7956000).

Almost surely, 2^216457101 is an apocalyptic number.

216457101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216457101 is a deficient number, since it is larger than the sum of its proper divisors (165430899).

216457101 is a wasteful number, since it uses less digits than its factorization.

216457101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 216457101 is about 14712.4811299794. The cubic root of 216457101 is about 600.4229434613.

The spelling of 216457101 in words is "two hundred sixteen million, four hundred fifty-seven thousand, one hundred one".