103111640064 has 352 divisors, whose sum is σ = 324716428800. Its totient is φ = 32210288640.

The previous prime is 103111640059. The next prime is 103111640069. The reversal of 103111640064 is 460046111301.

103111640064 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 11 + 640 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103111640059) and next prime (103111640069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103111640069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202576642 + ... + 202577150.

Almost surely, 2^103111640064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103111640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358214400).

103111640064 is an abundant number, since it is smaller than the sum of its proper divisors (221604788736).

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

103111640064 is a wasteful number, since it uses less digits than its factorization.

103111640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 103111640064 its reverse (460046111301), we get a palindrome (563157751365).

The spelling of 103111640064 in words is "one hundred three billion, one hundred eleven million, six hundred forty thousand, sixty-four".