103410416010 has 64 divisors (see below), whose sum is σ = 271157445504. Its totient is φ = 25031212800.

The previous prime is 103410416003. The next prime is 103410416047. The reversal of 103410416010 is 10614014301.

It is a super-3 number, since 3×103410416010³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18909 + ... + 455168.

It is an arithmetic number, because the mean of its divisors is an integer number (4236835086).

Almost surely, 2^103410416010 is an apocalyptic number.

103410416010 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 103410416010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135578722752).

103410416010 is an abundant number, since it is smaller than the sum of its proper divisors (167747029494).

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

103410416010 is a wasteful number, since it uses less digits than its factorization.

103410416010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474759.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 103410416010 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, ten".