106170273751540 has 24 divisors (see below), whose sum is σ = 222957925063272. Its totient is φ = 42468042798720.

The previous prime is 106170273751519. The next prime is 106170273751547. The reversal of 106170273751540 is 45157372071601.

It can be written as a sum of positive squares in 4 ways, for example, as 8434865552656 + 97735408198884 = 2904284^2 + 9886122^2 .

It is a super-2 number, since 2×106170273751540² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106170273751547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10069222 + ... + 17712418.

It is an arithmetic number, because the mean of its divisors is an integer number (9289913544303).

Almost surely, 2^{106170273751540} is an apocalyptic number.

106170273751540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106170273751540 is an abundant number, since it is smaller than the sum of its proper divisors (116787651311732).

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

106170273751540 is a wasteful number, since it uses less digits than its factorization.

106170273751540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337747 (or 8337745 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 49.

The spelling of 106170273751540 in words is "one hundred six trillion, one hundred seventy billion, two hundred seventy-three million, seven hundred fifty-one thousand, five hundred forty".