106544404512 has 192 divisors, whose sum is σ = 382467375360. Its totient is φ = 28099602432.

The previous prime is 106544404459. The next prime is 106544404517. The reversal of 106544404512 is 215404445601.

106544404512 is a `hidden beast` number, since 1 + 0 + 65 + 44 + 40 + 4 + 512 = 666.

It is a super-2 number, since 2×106544404512² (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 not an unprimeable number, because it can be changed into a prime (106544404517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598933 + ... + 756180.

It is an arithmetic number, because the mean of its divisors is an integer number (1992017580).

Almost surely, 2^106544404512 is an apocalyptic number.

106544404512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106544404512 is an abundant number, since it is smaller than the sum of its proper divisors (275922970848).

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

106544404512 is a wasteful number, since it uses less digits than its factorization.

106544404512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355152 (or 1355138 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 106544404512 in words is "one hundred six billion, five hundred forty-four million, four hundred four thousand, five hundred twelve".