103795965 has 192 divisors, whose sum is σ = 248209920. Its totient is φ = 40642560.

The previous prime is 103795963. The next prime is 103796009. The reversal of 103795965 is 569597301.

It is not a de Polignac number, because 103795965 - 2¹ = 103795963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 103795965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103795963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1461880 + ... + 1461950.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^103795965 is an apocalyptic number.

103795965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103795965 is an abundant number, since it is smaller than the sum of its proper divisors (144413955).

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

103795965 is a wasteful number, since it uses less digits than its factorization.

103795965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 103795965 is about 10188.0304769862. The cubic root of 103795965 is about 469.9592012269.

The spelling of 103795965 in words is "one hundred three million, seven hundred ninety-five thousand, nine hundred sixty-five".