103155344661600 has 6048 divisors, whose sum is σ = 517843918368000. Its totient is φ = 19554761318400.

The previous prime is 103155344661559. The next prime is 103155344661613. The reversal of 103155344661600 is 6166443551301.

103155344661600 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 5 + 5 + 34 + 4 + 6 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 272177690211 + ... + 272177690589.

It is an arithmetic number, because the mean of its divisors is an integer number (85622341000).

Almost surely, 2^{103155344661600} is an apocalyptic number.

103155344661600 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 103155344661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258921959184000).

103155344661600 is an abundant number, since it is smaller than the sum of its proper divisors (414688573706400).

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

103155344661600 is a wasteful number, since it uses less digits than its factorization.

103155344661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 103155344661600 in words is "one hundred three trillion, one hundred fifty-five billion, three hundred forty-four million, six hundred sixty-one thousand, six hundred".