103555413540 has 144 divisors (see below), whose sum is σ = 318186925056. Its totient is φ = 27259315200.

The previous prime is 103555413491. The next prime is 103555413581. The reversal of 103555413540 is 45314555301.

103555413540 is a `hidden beast` number, since 1 + 0 + 3 + 55 + 54 + 13 + 540 = 666.

It is a super-3 number, since 3×103555413540³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103555413495 and 103555413504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492284 + ... + 4515276.

It is an arithmetic number, because the mean of its divisors is an integer number (2209631424).

Almost surely, 2^103555413540 is an apocalyptic number.

103555413540 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 103555413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159093462528).

103555413540 is an abundant number, since it is smaller than the sum of its proper divisors (214631511516).

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

103555413540 is a wasteful number, since it uses less digits than its factorization.

103555413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23330 (or 23325 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 103555413540 its reverse (45314555301), we get a palindrome (148869968841).

The spelling of 103555413540 in words is "one hundred three billion, five hundred fifty-five million, four hundred thirteen thousand, five hundred forty".