102854045435904 has 576 divisors, whose sum is σ = 360906214032000. Its totient is φ = 27564480921600.

The previous prime is 102854045435899. The next prime is 102854045435959. The reversal of 102854045435904 is 409534540458201.

102854045435904 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 4 + 0 + 4 + 5 + 43 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247389352 + ... + 247804760.

It is an arithmetic number, because the mean of its divisors is an integer number (626573288250).

Almost surely, 2^{102854045435904} is an apocalyptic number.

102854045435904 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 102854045435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180453107016000).

102854045435904 is an abundant number, since it is smaller than the sum of its proper divisors (258052168596096).

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

102854045435904 is a wasteful number, since it uses less digits than its factorization.

102854045435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415564 (or 415541 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 102854045435904 in words is "one hundred two trillion, eight hundred fifty-four billion, forty-five million, four hundred thirty-five thousand, nine hundred four".