106110853632 has 160 divisors (see below), whose sum is σ = 358966608000. Its totient is φ = 30317359104.

The previous prime is 106110853603. The next prime is 106110853661. The reversal of 106110853632 is 236358011601.

106110853632 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 10 + 8 + 5 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (106110853603) and next prime (106110853661).

It is a super-2 number, since 2×106110853632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451507 + ... + 645042.

It is an arithmetic number, because the mean of its divisors is an integer number (2243541300).

Almost surely, 2^106110853632 is an apocalyptic number.

106110853632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106110853632 is an abundant number, since it is smaller than the sum of its proper divisors (252855754368).

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

106110853632 is an equidigital number, since it uses as much as digits as its factorization.

106110853632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096583 (or 1096561 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106110853632 in words is "one hundred six billion, one hundred ten million, eight hundred fifty-three thousand, six hundred thirty-two".