7845096105 has 384 divisors, whose sum is σ = 19366502400. Its totient is φ = 2935595520.

The previous prime is 7845096101. The next prime is 7845096109. The reversal of 7845096105 is 5016905487.

7845096105 is a `hidden beast` number, since 7 + 8 + 450 + 96 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (7845096101) and next prime (7845096109).

It is not a de Polignac number, because 7845096105 - 2² = 7845096101 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7845096101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49968687 + ... + 49968843.

It is an arithmetic number, because the mean of its divisors is an integer number (50433600).

Almost surely, 2^7845096105 is an apocalyptic number.

It is an amenable number.

7845096105 is an abundant number, since it is smaller than the sum of its proper divisors (11521406295).

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

7845096105 is a wasteful number, since it uses less digits than its factorization.

7845096105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 7845096105 is about 88572.5471294577. The cubic root of 7845096105 is about 1987.0071173666.

The spelling of 7845096105 in words is "seven billion, eight hundred forty-five million, ninety-six thousand, one hundred five".