103312160640 has 768 divisors, whose sum is σ = 419716209600. Its totient is φ = 23923261440.

The previous prime is 103312160599. The next prime is 103312160647. The reversal of 103312160640 is 46061213301.

103312160640 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 2 + 16 + 0 + 640 = 666.

It is a super-2 number, since 2×103312160640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312160647) 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, 49644400 + ... + 49646480.

Almost surely, 2^103312160640 is an apocalyptic number.

103312160640 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 103312160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209858104800).

103312160640 is an abundant number, since it is smaller than the sum of its proper divisors (316404048960).

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

103312160640 is a wasteful number, since it uses less digits than its factorization.

103312160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103312160640 its reverse (46061213301), we get a palindrome (149373373941).

The spelling of 103312160640 in words is "one hundred three billion, three hundred twelve million, one hundred sixty thousand, six hundred forty".