106346448763587 has 48 divisors (see below), whose sum is σ = 166919632588800. Its totient is φ = 64996697600640.

The previous prime is 106346448763571. The next prime is 106346448763613. The reversal of 106346448763587 is 785367844643601.

106346448763587 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 6 + 4 + 487 + 63 + 5 + 87 = 666.

It is not a de Polignac number, because 106346448763587 - 2⁴ = 106346448763571 is a prime.

It is a super-2 number, since 2×106346448763587² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106346448761587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124726438 + ... + 125576180.

It is an arithmetic number, because the mean of its divisors is an integer number (3477492345600).

Almost surely, 2^{106346448763587} is an apocalyptic number.

106346448763587 is a deficient number, since it is larger than the sum of its proper divisors (60573183825213).

106346448763587 is a wasteful number, since it uses less digits than its factorization.

106346448763587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873408 (or 873405 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 106346448763587 in words is "one hundred six trillion, three hundred forty-six billion, four hundred forty-eight million, seven hundred sixty-three thousand, five hundred eighty-seven".