106535546536650 has 192 divisors, whose sum is σ = 329418305879040. Its totient is φ = 22136185843200.

The previous prime is 106535546536603. The next prime is 106535546536673. The reversal of 106535546536650 is 56635645535601.

It is a super-2 number, since 2×106535546536650² (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 95 ways as a sum of consecutive naturals, for example, 250850181 + ... + 251274519.

It is an arithmetic number, because the mean of its divisors is an integer number (1715720343120).

Almost surely, 2^{106535546536650} is an apocalyptic number.

106535546536650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106535546536650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164709152939520).

106535546536650 is an abundant number, since it is smaller than the sum of its proper divisors (222882759342390).

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

106535546536650 is a wasteful number, since it uses less digits than its factorization.

106535546536650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446109 (or 446104 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 60.

The spelling of 106535546536650 in words is "one hundred six trillion, five hundred thirty-five billion, five hundred forty-six million, five hundred thirty-six thousand, six hundred fifty".