103743640 has 128 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 29836800.

The previous prime is 103743637. The next prime is 103743659. The reversal of 103743640 is 46347301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 103743599 and 103743608.

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, 38745 + ... + 41335.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^103743640 is an apocalyptic number.

103743640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103743640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

103743640 is an abundant number, since it is smaller than the sum of its proper divisors (209784680).

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

103743640 is a wasteful number, since it uses less digits than its factorization.

103743640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 103743640 is about 10185.4621888258. The cubic root of 103743640 is about 469.8802169474.

The spelling of 103743640 in words is "one hundred three million, seven hundred forty-three thousand, six hundred forty".