106005500606010 has 32 divisors (see below), whose sum is σ = 254519251315200. Its totient is φ = 28256350177088.

The previous prime is 106005500605997. The next prime is 106005500606023. The reversal of 106005500606010 is 10606005500601.

It is an interprime number because it is at equal distance from previous prime (106005500605997) and next prime (106005500606023).

It is a super-2 number, since 2×106005500606010² (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).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736384197 + ... + 736528136.

It is an arithmetic number, because the mean of its divisors is an integer number (7953726603600).

Almost surely, 2^{106005500606010} is an apocalyptic number.

106005500606010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106005500606010 is an abundant number, since it is smaller than the sum of its proper divisors (148513750709190).

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

106005500606010 is a wasteful number, since it uses less digits than its factorization.

106005500606010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472914742.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106005500606010 in words is "one hundred six trillion, five billion, five hundred million, six hundred six thousand, ten".