103542351063030 has 192 divisors, whose sum is σ = 309156920916480. Its totient is φ = 23778821376000.

The previous prime is 103542351062999. The next prime is 103542351063031. The reversal of 103542351063030 is 30360153245301.

103542351063030 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 4 + 2 + 3 + 5 + 10 + 630 + 3 + 0 = 666.

It is a super-3 number, since 3×103542351063030³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103542351063031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388537830 + ... + 388804230.

It is an arithmetic number, because the mean of its divisors is an integer number (1610192296440).

Almost surely, 2^{103542351063030} is an apocalyptic number.

103542351063030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103542351063030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154578460458240).

103542351063030 is an abundant number, since it is smaller than the sum of its proper divisors (205614569853450).

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

103542351063030 is a wasteful number, since it uses less digits than its factorization.

103542351063030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287107 (or 287104 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 103542351063030 in words is "one hundred three trillion, five hundred forty-two billion, three hundred fifty-one million, sixty-three thousand, thirty".