103061433547800 has 2304 divisors, whose sum is σ = 474067157760000. Its totient is φ = 20338582118400.

The previous prime is 103061433547697. The next prime is 103061433547889. The reversal of 103061433547800 is 8745334160301.

103061433547800 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 143 + 35 + 478 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 5163129820 + ... + 5163149780.

It is an arithmetic number, because the mean of its divisors is an integer number (205758315000).

Almost surely, 2^{103061433547800} is an apocalyptic number.

103061433547800 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 103061433547800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237033578880000).

103061433547800 is an abundant number, since it is smaller than the sum of its proper divisors (371005724212200).

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

103061433547800 is a wasteful number, since it uses less digits than its factorization.

103061433547800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20111 (or 20089 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 103061433547800 in words is "one hundred three trillion, sixty-one billion, four hundred thirty-three million, five hundred forty-seven thousand, eight hundred".