102324420735420 has 288 divisors, whose sum is σ = 326855805050880. Its totient is φ = 23841106099200.

The previous prime is 102324420735413. The next prime is 102324420735451. The reversal of 102324420735420 is 24537024423201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221520942 + ... + 221982378.

It is an arithmetic number, because the mean of its divisors is an integer number (1134915989760).

Almost surely, 2^{102324420735420} is an apocalyptic number.

102324420735420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102324420735420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163427902525440).

102324420735420 is an abundant number, since it is smaller than the sum of its proper divisors (224531384315460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102324420735420 is a wasteful number, since it uses less digits than its factorization.

102324420735420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462645 (or 462630 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 102324420735420 in words is "one hundred two trillion, three hundred twenty-four billion, four hundred twenty million, seven hundred thirty-five thousand, four hundred twenty".