103690558490400 has 288 divisors, whose sum is σ = 428587642385280. Its totient is φ = 23700699048960.

The previous prime is 103690558490357. The next prime is 103690558490413. The reversal of 103690558490400 is 4094855096301.

103690558490400 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 9 + 0 + 558 + 49 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 342740859 + ... + 343043258.

It is an arithmetic number, because the mean of its divisors is an integer number (1488151536060).

Almost surely, 2^{103690558490400} is an apocalyptic number.

103690558490400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103690558490400 is an abundant number, since it is smaller than the sum of its proper divisors (324897083894880).

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

103690558490400 is a wasteful number, since it uses less digits than its factorization.

103690558490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685784153 (or 685784134 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 103690558490400 in words is "one hundred three trillion, six hundred ninety billion, five hundred fifty-eight million, four hundred ninety thousand, four hundred".