106825249440 has 1152 divisors, whose sum is σ = 471247096320. Its totient is φ = 22251552768.

The previous prime is 106825249343. The next prime is 106825249441. The reversal of 106825249440 is 44942528601.

It is a happy number.

106825249440 is a `hidden beast` number, since 1 + 0 + 6 + 82 + 524 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×106825249440² (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 (106825249441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385650582 + ... + 385650858.

It is an arithmetic number, because the mean of its divisors is an integer number (409068660).

Almost surely, 2^106825249440 is an apocalyptic number.

106825249440 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 106825249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235623548160).

106825249440 is an abundant number, since it is smaller than the sum of its proper divisors (364421846880).

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

106825249440 is a wasteful number, since it uses less digits than its factorization.

106825249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 106825249440 in words is "one hundred six billion, eight hundred twenty-five million, two hundred forty-nine thousand, four hundred forty".