106097138454528 has 1456 divisors, whose sum is σ = 371263203178560. Its totient is φ = 30002402820096.

The previous prime is 106097138454499. The next prime is 106097138454551. The reversal of 106097138454528 is 825454831790601.

It is a happy number.

106097138454528 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 7 + 1 + 3 + 84 + 545 + 2 + 8 = 666.

It is a super-2 number, since 2×106097138454528² (a number of 29 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 111 ways as a sum of consecutive naturals, for example, 28375804083 + ... + 28375807821.

It is a 1-persistent number, because it is pandigital, but 2⋅106097138454528 = 212194276909056 is not.

Almost surely, 2^{106097138454528} is an apocalyptic number.

106097138454528 is a gapful number since it is divisible by the number (18) 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 106097138454528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185631601589280).

106097138454528 is an abundant number, since it is smaller than the sum of its proper divisors (265166064724032).

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

106097138454528 is an equidigital number, since it uses as much as digits as its factorization.

106097138454528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 106097138454528 in words is "one hundred six trillion, ninety-seven billion, one hundred thirty-eight million, four hundred fifty-four thousand, five hundred twenty-eight".