107103735 has 32 divisors (see below), whose sum is σ = 191093760. Its totient is φ = 56916000.

The previous prime is 107103719. The next prime is 107103769. The reversal of 107103735 is 537301701.

It is not a de Polignac number, because 107103735 - 2⁴ = 107103719 is a prime.

It is a super-2 number, since 2×107103735² = 22942420101900450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107103699 and 107103708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40710 + ... + 43260.

It is an arithmetic number, because the mean of its divisors is an integer number (5971680).

Almost surely, 2^107103735 is an apocalyptic number.

107103735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107103735 is a deficient number, since it is larger than the sum of its proper divisors (83990025).

107103735 is a wasteful number, since it uses less digits than its factorization.

107103735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 107103735 is about 10349.0934385578. The cubic root of 107103735 is about 474.8993101440.

The spelling of 107103735 in words is "one hundred seven million, one hundred three thousand, seven hundred thirty-five".