106643014500 has 192 divisors, whose sum is σ = 358704702720. Its totient is φ = 24332032000.

The previous prime is 106643014493. The next prime is 106643014501. The reversal of 106643014500 is 5410346601.

It is a super-2 number, since 2×106643014500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106643014501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90406 + ... + 470594.

It is an arithmetic number, because the mean of its divisors is an integer number (1868253660).

Almost surely, 2^106643014500 is an apocalyptic number.

106643014500 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 106643014500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179352351360).

106643014500 is an abundant number, since it is smaller than the sum of its proper divisors (252061688220).

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

106643014500 is a wasteful number, since it uses less digits than its factorization.

106643014500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380239 (or 380227 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 106643014500 in words is "one hundred six billion, six hundred forty-three million, fourteen thousand, five hundred".