3850505610105 has 96 divisors (see below), whose sum is σ = 7819357569408. Its totient is φ = 1599966950400.

The previous prime is 3850505610101. The next prime is 3850505610137. The reversal of 3850505610105 is 5010165050583.

It is not a de Polignac number, because 3850505610105 - 2² = 3850505610101 is a prime.

It is a super-3 number, since 3×3850505610105³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (3850505610101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59157759 + ... + 59222811.

It is an arithmetic number, because the mean of its divisors is an integer number (81451641348).

Almost surely, 2^{3850505610105} is an apocalyptic number.

3850505610105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3850505610105 is an abundant number, since it is smaller than the sum of its proper divisors (3968851959303).

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

3850505610105 is a wasteful number, since it uses less digits than its factorization.

3850505610105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72407 (or 72400 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 3850505610105 in words is "three trillion, eight hundred fifty billion, five hundred five million, six hundred ten thousand, one hundred five".