106615300540 has 120 divisors (see below), whose sum is σ = 261659336400. Its totient is φ = 36488438784.

The previous prime is 106615300531. The next prime is 106615300621. The reversal of 106615300540 is 45003516601.

It is a super-2 number, since 2×106615300540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32315811 + ... + 32319109.

It is an arithmetic number, because the mean of its divisors is an integer number (2180494470).

Almost surely, 2^106615300540 is an apocalyptic number.

106615300540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106615300540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130829668200).

106615300540 is an abundant number, since it is smaller than the sum of its proper divisors (155044035860).

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

106615300540 is an equidigital number, since it uses as much as digits as its factorization.

106615300540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 106615300540 in words is "one hundred six billion, six hundred fifteen million, three hundred thousand, five hundred forty".