102090046013424 has 960 divisors, whose sum is σ = 365623089894400. Its totient is φ = 26642319814656.

The previous prime is 102090046013407. The next prime is 102090046013471. The reversal of 102090046013424 is 424310640090201.

102090046013424 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 0 + 0 + 4 + 601 + 3 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52814301162 + ... + 52814303094.

Almost surely, 2^{102090046013424} is an apocalyptic number.

102090046013424 is a gapful number since it is divisible by the number (14) 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 102090046013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182811544947200).

102090046013424 is an abundant number, since it is smaller than the sum of its proper divisors (263533043880976).

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

102090046013424 is a wasteful number, since it uses less digits than its factorization.

102090046013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 102090046013424 in words is "one hundred two trillion, ninety billion, forty-six million, thirteen thousand, four hundred twenty-four".