66145610060100 has 108 divisors (see below), whose sum is σ = 218241831611440. Its totient is φ = 16710469905600.

The previous prime is 66145610060053. The next prime is 66145610060107. The reversal of 66145610060100 is 106001654166.

It is a happy number.

66145610060100 is a `hidden beast` number, since 6 + 6 + 1 + 45 + 6 + 1 + 0 + 0 + 601 + 0 + 0 = 666.

It is a super-3 number, since 3×66145610060100³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66145610060107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1934065066 + ... + 1934099265.

Almost surely, 2^{66145610060100} is an apocalyptic number.

66145610060100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66145610060100 is an abundant number, since it is smaller than the sum of its proper divisors (152096221551340).

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

66145610060100 is a wasteful number, since it uses less digits than its factorization.

66145610060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868164370 (or 3868164360 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 66145610060100 in words is "sixty-six trillion, one hundred forty-five billion, six hundred ten million, sixty thousand, one hundred".