103367406562560 has 4320 divisors, whose sum is σ = 464288041147392. Its totient is φ = 21941965946880.

The previous prime is 103367406562559. The next prime is 103367406562571. The reversal of 103367406562560 is 65265604763301.

103367406562560 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 6 + 7 + 4 + 0 + 6 + 5 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103367406562497 and 103367406562506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1415991870684 + ... + 1415991870756.

Almost surely, 2^{103367406562560} is an apocalyptic number.

103367406562560 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 103367406562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232144020573696).

103367406562560 is an abundant number, since it is smaller than the sum of its proper divisors (360920634584832).

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

103367406562560 is an frugal number, since it uses more digits than its factorization.

103367406562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 103367406562560 in words is "one hundred three trillion, three hundred sixty-seven billion, four hundred six million, five hundred sixty-two thousand, five hundred sixty".