103359405240 has 320 divisors, whose sum is σ = 427573460160. Its totient is φ = 21807636480.

The previous prime is 103359405239. The next prime is 103359405269. The reversal of 103359405240 is 42504953301.

103359405240 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 9 + 405 + 240 = 666.

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 = 103359405195 and 103359405204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119560 + ... + 470120.

It is an arithmetic number, because the mean of its divisors is an integer number (1336167063).

Almost surely, 2^103359405240 is an apocalyptic number.

103359405240 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 103359405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213786730080).

103359405240 is an abundant number, since it is smaller than the sum of its proper divisors (324214054920).

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

103359405240 is a wasteful number, since it uses less digits than its factorization.

103359405240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350604 (or 350591 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 103359405240 in words is "one hundred three billion, three hundred fifty-nine million, four hundred five thousand, two hundred forty".