106352101504 has 64 divisors (see below), whose sum is σ = 233423311680. Its totient is φ = 47863168000.

The previous prime is 106352101463. The next prime is 106352101517. The reversal of 106352101504 is 405101253601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106352101504² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231724 + ... + 516139.

It is an arithmetic number, because the mean of its divisors is an integer number (3647239245).

Almost surely, 2^106352101504 is an apocalyptic number.

It is an amenable number.

106352101504 is an abundant number, since it is smaller than the sum of its proper divisors (127071210176).

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

106352101504 is a wasteful number, since it uses less digits than its factorization.

106352101504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747989 (or 747977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 106352101504 in words is "one hundred six billion, three hundred fifty-two million, one hundred one thousand, five hundred four".