106404551011044 has 432 divisors, whose sum is σ = 330877846301184. Its totient is φ = 28548437299200.

The previous prime is 106404551011019. The next prime is 106404551011069. The reversal of 106404551011044 is 440110155404601.

106404551011044 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 455 + 10 + 110 + 44 = 666.

106404551011044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106404551011019) and next prime (106404551011069).

It is a super-2 number, since 2×106404551011044² (a number of 29 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 234207834 + ... + 234661710.

It is an arithmetic number, because the mean of its divisors is an integer number (765920940512).

Almost surely, 2^{106404551011044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106404551011044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165438923150592).

106404551011044 is an abundant number, since it is smaller than the sum of its proper divisors (224473295290140).

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

106404551011044 is a wasteful number, since it uses less digits than its factorization.

106404551011044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454068 (or 454050 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 106404551011044 in words is "one hundred six trillion, four hundred four billion, five hundred fifty-one million, eleven thousand, forty-four".