106515087360 has 720 divisors, whose sum is σ = 393575184576. Its totient is φ = 24379392000.

The previous prime is 106515087311. The next prime is 106515087373. The reversal of 106515087360 is 63780515601.

It is a super-2 number, since 2×106515087360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597928940 + ... + 2597928980.

Almost surely, 2^106515087360 is an apocalyptic number.

106515087360 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 106515087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196787592288).

106515087360 is an abundant number, since it is smaller than the sum of its proper divisors (287060097216).

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

106515087360 is an equidigital number, since it uses as much as digits as its factorization.

106515087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 106515087360 in words is "one hundred six billion, five hundred fifteen million, eighty-seven thousand, three hundred sixty".