102424201 has 36 divisors (see below), whose sum is σ = 124942860. Its totient is φ = 83776000.

The previous prime is 102424199. The next prime is 102424207.

102424201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 32718400 + 69705801 = 5720^2 + 8349^2 .

It is not a de Polignac number, because 102424201 - 2¹ = 102424199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1014051 + ... + 1014151.

It is an arithmetic number, because the mean of its divisors is an integer number (3470635).

Almost surely, 2^102424201 is an apocalyptic number.

102424201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102424201 is a deficient number, since it is larger than the sum of its proper divisors (22518659).

102424201 is a wasteful number, since it uses less digits than its factorization.

102424201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102424201 is about 10120.4842275456. The cubic root of 102424201 is about 467.8796915408.

The spelling of 102424201 in words is "one hundred two million, four hundred twenty-four thousand, two hundred one".