106252046353600 has 168 divisors, whose sum is σ = 299319236572928. Its totient is φ = 36365471769600.

The previous prime is 106252046353573. The next prime is 106252046353637. The reversal of 106252046353600 is 6353640252601.

It is a super-2 number, since 2×106252046353600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911972 + ... + 14702371.

Almost surely, 2^{106252046353600} is an apocalyptic number.

106252046353600 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 106252046353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149659618286464).

106252046353600 is an abundant number, since it is smaller than the sum of its proper divisors (193067190219328).

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

106252046353600 is a wasteful number, since it uses less digits than its factorization.

106252046353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614943 (or 16614928 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 106252046353600 in words is "one hundred six trillion, two hundred fifty-two billion, forty-six million, three hundred fifty-three thousand, six hundred".