106500510615060 has 36 divisors (see below), whose sum is σ = 323051548866228. Its totient is φ = 28400136163968.

The previous prime is 106500510615043. The next prime is 106500510615089. The reversal of 106500510615060 is 60516015005601.

106500510615060 is a `hidden beast` number, since 10 + 65 + 0 + 0 + 510 + 6 + 15 + 0 + 60 = 666.

106500510615060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11604896307216 + 94895614307844 = 3406596^2 + 9741438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106500510615060² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295834751529 + ... + 295834751888.

It is an arithmetic number, because the mean of its divisors is an integer number (8973654135173).

Almost surely, 2^{106500510615060} is an apocalyptic number.

106500510615060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106500510615060 is an abundant number, since it is smaller than the sum of its proper divisors (216551038251168).

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

106500510615060 is a wasteful number, since it uses less digits than its factorization.

106500510615060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591669503432 (or 591669503427 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106500510615060 in words is "one hundred six trillion, five hundred billion, five hundred ten million, six hundred fifteen thousand, sixty".