106224105510 has 160 divisors (see below), whose sum is σ = 308322210240. Its totient is φ = 26160406272.

The previous prime is 106224105473. The next prime is 106224105529. The reversal of 106224105510 is 15501422601.

106224105510 is a `hidden beast` number, since 10 + 62 + 2 + 41 + 0 + 551 + 0 = 666.

It is a super-2 number, since 2×106224105510² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 441964 + ... + 638576.

It is an arithmetic number, because the mean of its divisors is an integer number (1927013814).

Almost surely, 2^106224105510 is an apocalyptic number.

106224105510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106224105510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154161105120).

106224105510 is an abundant number, since it is smaller than the sum of its proper divisors (202098104730).

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

106224105510 is a wasteful number, since it uses less digits than its factorization.

106224105510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196684 (or 196675 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 106224105510 in words is "one hundred six billion, two hundred twenty-four million, one hundred five thousand, five hundred ten".