106021142010 has 96 divisors (see below), whose sum is σ = 328731436800. Its totient is φ = 23179774464.

The previous prime is 106021141997. The next prime is 106021142041. The reversal of 106021142010 is 10241120601.

106021142010 is a `hidden beast` number, since 1 + 0 + 602 + 11 + 42 + 0 + 10 = 666.

It is a super-2 number, since 2×106021142010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3643935 + ... + 3672914.

It is an arithmetic number, because the mean of its divisors is an integer number (3424285800).

Almost surely, 2^106021142010 is an apocalyptic number.

106021142010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106021142010 is an abundant number, since it is smaller than the sum of its proper divisors (222710294790).

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

106021142010 is a wasteful number, since it uses less digits than its factorization.

106021142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316892 (or 7316889 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 106021142010 its reverse (10241120601), we get a palindrome (116262262611).

The spelling of 106021142010 in words is "one hundred six billion, twenty-one million, one hundred forty-two thousand, ten".