106165005510 has 64 divisors (see below), whose sum is σ = 256249843200. Its totient is φ = 28149327360.

The previous prime is 106165005503. The next prime is 106165005581. The reversal of 106165005510 is 15500561601.

It is a super-2 number, since 2×106165005510² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10281150 + ... + 10291470.

It is an arithmetic number, because the mean of its divisors is an integer number (4003903800).

Almost surely, 2^106165005510 is an apocalyptic number.

106165005510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106165005510 is an abundant number, since it is smaller than the sum of its proper divisors (150084837690).

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

106165005510 is a wasteful number, since it uses less digits than its factorization.

106165005510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253.

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

The spelling of 106165005510 in words is "one hundred six billion, one hundred sixty-five million, five thousand, five hundred ten".