103342040352 has 192 divisors, whose sum is σ = 314991452160. Its totient is φ = 32929811712.

The previous prime is 103342040341. The next prime is 103342040363. The reversal of 103342040352 is 253040243301.

103342040352 is a `hidden beast` number, since 103 + 3 + 4 + 204 + 0 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (103342040341) and next prime (103342040363).

It is a super-2 number, since 2×103342040352² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716553 + ... + 1775735.

It is an arithmetic number, because the mean of its divisors is an integer number (1640580480).

Almost surely, 2^103342040352 is an apocalyptic number.

103342040352 is a gapful number since it is divisible by the number (12) 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 103342040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157495726080).

103342040352 is an abundant number, since it is smaller than the sum of its proper divisors (211649411808).

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

103342040352 is a wasteful number, since it uses less digits than its factorization.

103342040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59292 (or 59278 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 103342040352 its reverse (253040243301), we get a palindrome (356382283653).

The spelling of 103342040352 in words is "one hundred three billion, three hundred forty-two million, forty thousand, three hundred fifty-two".