106244974440 has 1152 divisors, whose sum is σ = 426645273600. Its totient is φ = 22809600000.

The previous prime is 106244974391. The next prime is 106244974441. The reversal of 106244974440 is 44479442601.

106244974440 is a `hidden beast` number, since 10 + 624 + 4 + 9 + 7 + 4 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×106244974440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106244974441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1051930390 + ... + 1051930490.

It is an arithmetic number, because the mean of its divisors is an integer number (370351800).

Almost surely, 2^106244974440 is an apocalyptic number.

106244974440 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 106244974440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213322636800).

106244974440 is an abundant number, since it is smaller than the sum of its proper divisors (320400299160).

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

106244974440 is a wasteful number, since it uses less digits than its factorization.

106244974440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 106244974440 in words is "one hundred six billion, two hundred forty-four million, nine hundred seventy-four thousand, four hundred forty".