106468045152 has 96 divisors (see below), whose sum is σ = 325922688000. Its totient is φ = 30419432064.

The previous prime is 106468045141. The next prime is 106468045153. The reversal of 106468045152 is 251540864601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106468045152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106468045153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1583752 + ... + 1649607.

It is an arithmetic number, because the mean of its divisors is an integer number (3395028000).

Almost surely, 2^106468045152 is an apocalyptic number.

106468045152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106468045152 is an abundant number, since it is smaller than the sum of its proper divisors (219454642848).

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

106468045152 is an equidigital number, since it uses as much as digits as its factorization.

106468045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233393 (or 3233371 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 106468045152 in words is "one hundred six billion, four hundred sixty-eight million, forty-five thousand, one hundred fifty-two".