103357772700000 has 3456 divisors, whose sum is σ = 446404548280320. Its totient is φ = 20727705600000.

The previous prime is 103357772699947. The next prime is 103357772700067. The reversal of 103357772700000 is 7277753301.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 432459299881 + ... + 432459300119.

It is an arithmetic number, because the mean of its divisors is an integer number (129167982720).

Almost surely, 2^{103357772700000} is an apocalyptic number.

103357772700000 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 103357772700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223202274140160).

103357772700000 is an abundant number, since it is smaller than the sum of its proper divisors (343046775580320).

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

103357772700000 is a wasteful number, since it uses less digits than its factorization.

103357772700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 42.

The spelling of 103357772700000 in words is "one hundred three trillion, three hundred fifty-seven billion, seven hundred seventy-two million, seven hundred thousand".