103257560041200 has 480 divisors, whose sum is σ = 368332818048000. Its totient is φ = 27474536494080.

The previous prime is 103257560041193. The next prime is 103257560041201. The reversal of 103257560041200 is 2140065752301.

103257560041200 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 7 + 5 + 600 + 41 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103257560041201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17421552637 + ... + 17421558563.

It is an arithmetic number, because the mean of its divisors is an integer number (767360037600).

Almost surely, 2^{103257560041200} is an apocalyptic number.

103257560041200 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 103257560041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184166409024000).

103257560041200 is an abundant number, since it is smaller than the sum of its proper divisors (265075258006800).

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

103257560041200 is a wasteful number, since it uses less digits than its factorization.

103257560041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 103257560041200 in words is "one hundred three trillion, two hundred fifty-seven billion, five hundred sixty million, forty-one thousand, two hundred".