100106114352 has 40 divisors (see below), whose sum is σ = 258700465920. Its totient is φ = 33356704320.

The previous prime is 100106114351. The next prime is 100106114357. The reversal of 100106114352 is 253411601001.

It is a happy number.

100106114352 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100106114351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 239652 + ... + 507587.

It is an arithmetic number, because the mean of its divisors is an integer number (6467511648).

Almost surely, 2^100106114352 is an apocalyptic number.

100106114352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100106114352 is an abundant number, since it is smaller than the sum of its proper divisors (158594351568).

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

100106114352 is a wasteful number, since it uses less digits than its factorization.

100106114352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750041 (or 750035 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 100106114352 its reverse (253411601001), we get a palindrome (353517715353).

The spelling of 100106114352 in words is "one hundred billion, one hundred six million, one hundred fourteen thousand, three hundred fifty-two".