106250501665000 has 480 divisors, whose sum is σ = 319043958377760. Its totient is φ = 32789064000000.

The previous prime is 106250501664961. The next prime is 106250501665051. The reversal of 106250501665000 is 566105052601.

It is a super-2 number, since 2×106250501665000² (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 119 ways as a sum of consecutive naturals, for example, 271999827 + ... + 272390173.

It is an arithmetic number, because the mean of its divisors is an integer number (664674913287).

Almost surely, 2^{106250501665000} is an apocalyptic number.

106250501665000 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 106250501665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159521979188880).

106250501665000 is an abundant number, since it is smaller than the sum of its proper divisors (212793456712760).

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

106250501665000 is a wasteful number, since it uses less digits than its factorization.

106250501665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390499 (or 390473 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 106250501665000 in words is "one hundred six trillion, two hundred fifty billion, five hundred one million, six hundred sixty-five thousand".