103412014022064 has 240 divisors, whose sum is σ = 299281888233216. Its totient is φ = 30735455562240.

The previous prime is 103412014022063. The next prime is 103412014022167. The reversal of 103412014022064 is 460220410214301.

It is a super-2 number, since 2×103412014022064² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103412014022063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948966909 + ... + 949075875.

Almost surely, 2^{103412014022064} 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 103412014022064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149640944116608).

103412014022064 is an abundant number, since it is smaller than the sum of its proper divisors (195869874211152).

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

103412014022064 is a wasteful number, since it uses less digits than its factorization.

103412014022064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112136 (or 112119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 103412014022064 its reverse (460220410214301), we get a palindrome (563632424236365).

The spelling of 103412014022064 in words is "one hundred three trillion, four hundred twelve billion, fourteen million, twenty-two thousand, sixty-four".