102834995040 has 576 divisors, whose sum is σ = 386952733440. Its totient is φ = 25716787200.

The previous prime is 102834995033. The next prime is 102834995057. The reversal of 102834995040 is 40599438201.

102834995040 is a `hidden beast` number, since 1 + 0 + 28 + 34 + 99 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 79042390 + ... + 79043690.

It is an arithmetic number, because the mean of its divisors is an integer number (671792940).

Almost surely, 2^102834995040 is an apocalyptic number.

102834995040 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 102834995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193476366720).

102834995040 is an abundant number, since it is smaller than the sum of its proper divisors (284117738400).

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

102834995040 is a wasteful number, since it uses less digits than its factorization.

102834995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 102834995040 in words is "one hundred two billion, eight hundred thirty-four million, nine hundred ninety-five thousand, forty".