106031645262351 has 12 divisors (see below), whose sum is σ = 153157637304360. Its totient is φ = 70687386722160.

The previous prime is 106031645262349. The next prime is 106031645262371. The reversal of 106031645262351 is 153262546130601.

It is a happy number.

106031645262351 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 16 + 4 + 5 + 2 + 623 + 5 + 1 = 666.

It is not a de Polignac number, because 106031645262351 - 2¹ = 106031645262349 is a prime.

It is a super-2 number, since 2×106031645262351² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106031645262297 and 106031645262306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031645262311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29611216 + ... + 32998293.

It is an arithmetic number, because the mean of its divisors is an integer number (12763136442030).

Almost surely, 2^{106031645262351} is an apocalyptic number.

106031645262351 is a deficient number, since it is larger than the sum of its proper divisors (47125992042009).

106031645262351 is a wasteful number, since it uses less digits than its factorization.

106031645262351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62797686 (or 62797683 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 106031645262351 in words is "one hundred six trillion, thirty-one billion, six hundred forty-five million, two hundred sixty-two thousand, three hundred fifty-one".