106467724440 has 384 divisors, whose sum is σ = 456780280320. Its totient is φ = 20821708800.

The previous prime is 106467724403. The next prime is 106467724459. The reversal of 106467724440 is 44427764601.

It is a happy number.

106467724440 is a `hidden beast` number, since 106 + 467 + 7 + 2 + 44 + 40 = 666.

It is a super-2 number, since 2×106467724440² (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 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 95 ways as a sum of consecutive naturals, for example, 358275 + ... + 584205.

It is an arithmetic number, because the mean of its divisors is an integer number (1189531980).

Almost surely, 2^106467724440 is an apocalyptic number.

106467724440 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 106467724440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228390140160).

106467724440 is an abundant number, since it is smaller than the sum of its proper divisors (350312555880).

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

106467724440 is a wasteful number, since it uses less digits than its factorization.

106467724440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225983 (or 225976 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 106467724440 in words is "one hundred six billion, four hundred sixty-seven million, seven hundred twenty-four thousand, four hundred forty".