106005625044 has 96 divisors (see below), whose sum is σ = 274469368320. Its totient is φ = 31575504000.

The previous prime is 106005625043. The next prime is 106005625069. The reversal of 106005625044 is 440526500601.

It is a super-2 number, since 2×106005625044² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106005624996 and 106005625014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005625043) 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, 1824547 + ... + 1881749.

It is an arithmetic number, because the mean of its divisors is an integer number (2859055920).

Almost surely, 2^106005625044 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 106005625044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137234684160).

106005625044 is an abundant number, since it is smaller than the sum of its proper divisors (168463743276).

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

106005625044 is a wasteful number, since it uses less digits than its factorization.

106005625044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57461 (or 57459 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 106005625044 in words is "one hundred six billion, five million, six hundred twenty-five thousand, forty-four".