106225523040 has 384 divisors, whose sum is σ = 412455601152. Its totient is φ = 22378291200.

The previous prime is 106225522993. The next prime is 106225523081. The reversal of 106225523040 is 40325522601.

It is a super-2 number, since 2×106225523040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106225522989 and 106225523007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37257615 + ... + 37260465.

It is an arithmetic number, because the mean of its divisors is an integer number (1074103128).

Almost surely, 2^106225523040 is an apocalyptic number.

106225523040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106225523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206227800576).

106225523040 is an abundant number, since it is smaller than the sum of its proper divisors (306230078112).

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

106225523040 is a wasteful number, since it uses less digits than its factorization.

106225523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 106225523040 in words is "one hundred six billion, two hundred twenty-five million, five hundred twenty-three thousand, forty".