103413740040 has 160 divisors (see below), whose sum is σ = 374322536280. Its totient is φ = 25455679488.

The previous prime is 103413739997. The next prime is 103413740083. The reversal of 103413740040 is 40047314301.

It is an interprime number because it is at equal distance from previous prime (103413739997) and next prime (103413740083).

It can be written as a sum of positive squares in 4 ways, for example, as 91043406756 + 12370333284 = 301734^2 + 111222^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103413739986 and 103413740013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1185489 + ... + 1269728.

Almost surely, 2^103413740040 is an apocalyptic number.

103413740040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103413740040 is an abundant number, since it is smaller than the sum of its proper divisors (270908796240).

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

103413740040 is a wasteful number, since it uses less digits than its factorization.

103413740040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455253 (or 2455240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 103413740040 in words is "one hundred three billion, four hundred thirteen million, seven hundred forty thousand, forty".