106763631 has 32 divisors (see below), whose sum is σ = 163924992. Its totient is φ = 61290240.

The previous prime is 106763609. The next prime is 106763639. The reversal of 106763631 is 136367601.

It is not a de Polignac number, because 106763631 - 2⁶ = 106763567 is a prime.

It is a super-2 number, since 2×106763631² = 22796945808608322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106763592 and 106763601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106763639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35326 + ... + 38228.

It is an arithmetic number, because the mean of its divisors is an integer number (5122656).

Almost surely, 2^106763631 is an apocalyptic number.

106763631 is a deficient number, since it is larger than the sum of its proper divisors (57161361).

106763631 is a wasteful number, since it uses less digits than its factorization.

106763631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106763631 is about 10332.6487891537. The cubic root of 106763631 is about 474.3961019878.

The spelling of 106763631 in words is "one hundred six million, seven hundred sixty-three thousand, six hundred thirty-one".