106433727063557 has 48 divisors (see below), whose sum is σ = 114744007883520. Its totient is φ = 98553514752000.

The previous prime is 106433727063511. The next prime is 106433727063683. The reversal of 106433727063557 is 755360727334601.

It is not a de Polignac number, because 106433727063557 - 2²⁰ = 106433726014981 is a prime.

It is a super-2 number, since 2×106433727063557² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106433727063496 and 106433727063505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106433727063757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295230082 + ... + 1295312252.

It is an arithmetic number, because the mean of its divisors is an integer number (2390500164240).

Almost surely, 2^{106433727063557} is an apocalyptic number.

It is an amenable number.

106433727063557 is a deficient number, since it is larger than the sum of its proper divisors (8310280819963).

106433727063557 is an equidigital number, since it uses as much as digits as its factorization.

106433727063557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82542 (or 82445 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 59.

The spelling of 106433727063557 in words is "one hundred six trillion, four hundred thirty-three billion, seven hundred twenty-seven million, sixty-three thousand, five hundred fifty-seven".