103742108910 has 256 divisors, whose sum is σ = 308020285440. Its totient is φ = 24634368000.

The previous prime is 103742108887. The next prime is 103742108917. The reversal of 103742108910 is 19801247301.

It is a happy number.

It is a super-2 number, since 2×103742108910² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103742108917) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49096014 + ... + 49098126.

It is an arithmetic number, because the mean of its divisors is an integer number (1203204240).

Almost surely, 2^103742108910 is an apocalyptic number.

103742108910 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 103742108910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154010142720).

103742108910 is an abundant number, since it is smaller than the sum of its proper divisors (204278176530).

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

103742108910 is a wasteful number, since it uses less digits than its factorization.

103742108910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 103742108910 in words is "one hundred three billion, seven hundred forty-two million, one hundred eight thousand, nine hundred ten".