102624305330401 has 8 divisors (see below), whose sum is σ = 105934907441408. Its totient is φ = 99313712010000.

The previous prime is 102624305330381. The next prime is 102624305330411. The reversal of 102624305330401 is 104033503426201.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 102624305330401 - 2¹¹ = 102624305328353 is a prime.

It is a super-2 number, since 2×102624305330401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102624305330411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28203046 + ... + 31633216.

It is an arithmetic number, because the mean of its divisors is an integer number (13241863430176).

Almost surely, 2^{102624305330401} is an apocalyptic number.

It is an amenable number.

102624305330401 is a deficient number, since it is larger than the sum of its proper divisors (3310602111007).

102624305330401 is an equidigital number, since it uses as much as digits as its factorization.

102624305330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395303.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 102624305330401 its reverse (104033503426201), we get a palindrome (206657808756602).

The spelling of 102624305330401 in words is "one hundred two trillion, six hundred twenty-four billion, three hundred five million, three hundred thirty thousand, four hundred one".