106505106500010 has 16 divisors (see below), whose sum is σ = 255612255600096. Its totient is φ = 28401361733328.

The previous prime is 106505106499997. The next prime is 106505106500017. The reversal of 106505106500010 is 10005601505601.

It is a super-2 number, since 2×106505106500010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3550170216667 = 106505106500010 / (1 + 0 + 6 + 5 + 0 + 5 + 1 + 0 + 6 + 5 + 0 + 0 + 0 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (106505106500017) 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, 1775085108304 + ... + 1775085108363.

It is an arithmetic number, because the mean of its divisors is an integer number (15975765975006).

Almost surely, 2^{106505106500010} is an apocalyptic number.

106505106500010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106505106500010 is an abundant number, since it is smaller than the sum of its proper divisors (149107149100086).

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

106505106500010 is a wasteful number, since it uses less digits than its factorization.

106505106500010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550170216677.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106505106500010 in words is "one hundred six trillion, five hundred five billion, one hundred six million, five hundred thousand, ten".