100103742 has 64 divisors (see below), whose sum is σ = 239712000. Its totient is φ = 30862944.

The previous prime is 100103719. The next prime is 100103753. The reversal of 100103742 is 247301001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 42984 + ... + 45252.

It is an arithmetic number, because the mean of its divisors is an integer number (3745500).

Almost surely, 2^100103742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100103742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119856000).

100103742 is an abundant number, since it is smaller than the sum of its proper divisors (139608258).

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

100103742 is a wasteful number, since it uses less digits than its factorization.

100103742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100103742 is about 10005.1857553970. The cubic root of 100103742 is about 464.3193371243.

Adding to 100103742 its reverse (247301001), we get a palindrome (347404743).

The spelling of 100103742 in words is "one hundred million, one hundred three thousand, seven hundred forty-two".