103550115142400 has 324 divisors, whose sum is σ = 271093937648352. Its totient is φ = 39140784291840.

The previous prime is 103550115142399. The next prime is 103550115142403. The reversal of 103550115142400 is 4241511055301.

It is a super-3 number, since 3×103550115142400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (103550115142403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252768134 + ... + 253177466.

Almost surely, 2^{103550115142400} is an apocalyptic number.

103550115142400 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 103550115142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135546968824176).

103550115142400 is an abundant number, since it is smaller than the sum of its proper divisors (167543822505952).

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

103550115142400 is an equidigital number, since it uses as much as digits as its factorization.

103550115142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409464 (or 409416 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 103550115142400 its reverse (4241511055301), we get a palindrome (107791626197701).

The spelling of 103550115142400 in words is "one hundred three trillion, five hundred fifty billion, one hundred fifteen million, one hundred forty-two thousand, four hundred".