106355642036160 has 112 divisors (see below), whose sum is σ = 368377269270912. Its totient is φ = 25783185945600.

The previous prime is 106355642036159. The next prime is 106355642036173. The reversal of 106355642036160 is 61630246553601.

It is a super-3 number, since 3×106355642036160³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5035767946 + ... + 5035789065.

Almost surely, 2^{106355642036160} is an apocalyptic number.

106355642036160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106355642036160 is an abundant number, since it is smaller than the sum of its proper divisors (262021627234752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106355642036160 is a wasteful number, since it uses less digits than its factorization.

106355642036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071557042 (or 10071557032 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

Adding to 106355642036160 its reverse (61630246553601), we get a palindrome (167985888589761).

The spelling of 106355642036160 in words is "one hundred six trillion, three hundred fifty-five billion, six hundred forty-two million, thirty-six thousand, one hundred sixty".