100354221 has 80 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 56501280.

The previous prime is 100354207. The next prime is 100354231. The reversal of 100354221 is 122453001.

100354221 is a `hidden beast` number, since 100 + 3 + 542 + 21 = 666.

It is not a de Polignac number, because 100354221 - 2⁶ = 100354157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100354194 and 100354203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100354201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1209046 + ... + 1209128.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^100354221 is an apocalyptic number.

100354221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100354221 is a deficient number, since it is larger than the sum of its proper divisors (75279699).

100354221 is a wasteful number, since it uses less digits than its factorization.

100354221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100354221 is about 10017.6953936522. The cubic root of 100354221 is about 464.7062869424.

The spelling of 100354221 in words is "one hundred million, three hundred fifty-four thousand, two hundred twenty-one".