103967031 has 16 divisors (see below), whose sum is σ = 166764800. Its totient is φ = 56282688.

The previous prime is 103967029. The next prime is 103967033. The reversal of 103967031 is 130769301.

It is an interprime number because it is at equal distance from previous prime (103967029) and next prime (103967033).

It is not a de Polignac number, because 103967031 - 2¹ = 103967029 is a prime.

It is a super-2 number, since 2×103967031² = 21618287069909922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103967031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103967033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129886 + ... + 130683.

It is an arithmetic number, because the mean of its divisors is an integer number (10422800).

Almost surely, 2^103967031 is an apocalyptic number.

103967031 is a deficient number, since it is larger than the sum of its proper divisors (62797769).

103967031 is a wasteful number, since it uses less digits than its factorization.

103967031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260598.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 103967031 is about 10196.4224608438. The cubic root of 103967031 is about 470.2172392452.

The spelling of 103967031 in words is "one hundred three million, nine hundred sixty-seven thousand, thirty-one".