106963031 has 24 divisors (see below), whose sum is σ = 133626240. Its totient is φ = 85059072.

The previous prime is 106963019. The next prime is 106963033. The reversal of 106963031 is 130369601.

It is not a de Polignac number, because 106963031 - 2¹⁴ = 106946647 is a prime.

It is a super-2 number, since 2×106963031² = 22882180001413922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106962985 and 106963003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106963033) 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, 59930 + ... + 61688.

It is an arithmetic number, because the mean of its divisors is an integer number (5567760).

Almost surely, 2^106963031 is an apocalyptic number.

106963031 is a deficient number, since it is larger than the sum of its proper divisors (26663209).

106963031 is a wasteful number, since it uses less digits than its factorization.

106963031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 106963031 is about 10342.2933143476. The cubic root of 106963031 is about 474.6912579073.

The spelling of 106963031 in words is "one hundred six million, nine hundred sixty-three thousand, thirty-one".