103874561 has 24 divisors (see below), whose sum is σ = 123721920. Its totient is φ = 86940000.

The previous prime is 103874557. The next prime is 103874567. The reversal of 103874561 is 165478301.

It is not a de Polignac number, because 103874561 - 2² = 103874557 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (103874567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687836 + ... + 687986.

It is an arithmetic number, because the mean of its divisors is an integer number (5155080).

It is a Proth number, since it is equal to 1585 ⋅ 2¹⁶ + 1 and 1585 < 2¹⁶.

Almost surely, 2^103874561 is an apocalyptic number.

It is an amenable number.

103874561 is a deficient number, since it is larger than the sum of its proper divisors (19847359).

103874561 is a wasteful number, since it uses less digits than its factorization.

103874561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 103874561 is about 10191.8870186046. The cubic root of 103874561 is about 470.0777915601.

The spelling of 103874561 in words is "one hundred three million, eight hundred seventy-four thousand, five hundred sixty-one".