106105621170 has 64 divisors (see below), whose sum is σ = 256279282560. Its totient is φ = 28114387968.

The previous prime is 106105621169. The next prime is 106105621231. The reversal of 106105621170 is 71126501601.

It is a super-2 number, since 2×106105621170² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10307386 + ... + 10317674.

It is an arithmetic number, because the mean of its divisors is an integer number (4004363790).

Almost surely, 2^106105621170 is an apocalyptic number.

106105621170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105621170 is an abundant number, since it is smaller than the sum of its proper divisors (150173661390).

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

106105621170 is a wasteful number, since it uses less digits than its factorization.

106105621170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459.

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 106105621170 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, one hundred seventy".