106396825920 has 448 divisors, whose sum is σ = 425365420032. Its totient is φ = 21888000000.

The previous prime is 106396825897. The next prime is 106396825933. The reversal of 106396825920 is 29528693601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106396825920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7458795 + ... + 7473045.

It is an arithmetic number, because the mean of its divisors is an integer number (949476384).

Almost surely, 2^106396825920 is an apocalyptic number.

106396825920 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 106396825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212682710016).

106396825920 is an abundant number, since it is smaller than the sum of its proper divisors (318968594112).

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

106396825920 is a wasteful number, since it uses less digits than its factorization.

106396825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14390 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 106396825920 in words is "one hundred six billion, three hundred ninety-six million, eight hundred twenty-five thousand, nine hundred twenty".