106505106499932 has 96 divisors (see below), whose sum is σ = 303284841861120. Its totient is φ = 28432953884160.

The previous prime is 106505106499873. The next prime is 106505106499973. The reversal of 106505106499932 is 239994601505601.

It is a super-2 number, since 2×106505106499932² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705106873 + ... + 705257904.

It is an arithmetic number, because the mean of its divisors is an integer number (3159217102720).

Almost surely, 2^{106505106499932} is an apocalyptic number.

106505106499932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106505106499932 is an abundant number, since it is smaller than the sum of its proper divisors (196779735361188).

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

106505106499932 is a wasteful number, since it uses less digits than its factorization.

106505106499932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410364851 (or 1410364849 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 106505106499932 in words is "one hundred six trillion, five hundred five billion, one hundred six million, four hundred ninety-nine thousand, nine hundred thirty-two".