106412031 has 24 divisors (see below), whose sum is σ = 170052480. Its totient is φ = 63579600.

The previous prime is 106412011. The next prime is 106412041. The reversal of 106412031 is 130214601.

It is a happy number.

106412031 is a `hidden beast` number, since 1 + 0 + 641 + 20 + 3 + 1 = 666.

It is not a de Polignac number, because 106412031 - 2⁶ = 106411967 is a prime.

It is a super-2 number, since 2×106412031² = 22647040683089922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106411995 and 106412013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106412011) 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, 541 + ... + 14598.

It is an arithmetic number, because the mean of its divisors is an integer number (7085520).

Almost surely, 2^106412031 is an apocalyptic number.

106412031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106412031 is a deficient number, since it is larger than the sum of its proper divisors (63640449).

106412031 is a wasteful number, since it uses less digits than its factorization.

106412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106412031 is about 10315.6207278089. The cubic root of 106412031 is about 473.8747599474.

Adding to 106412031 its reverse (130214601), we get a palindrome (236626632).

The spelling of 106412031 in words is "one hundred six million, four hundred twelve thousand, thirty-one".