106095045000 has 640 divisors, whose sum is σ = 409593888000. Its totient is φ = 22804992000.

The previous prime is 106095044977. The next prime is 106095045073. The reversal of 106095045000 is 540590601.

It is a super-2 number, since 2×106095045000² (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 an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 87464394 + ... + 87465606.

It is an arithmetic number, because the mean of its divisors is an integer number (639990450).

Almost surely, 2^106095045000 is an apocalyptic number.

106095045000 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 106095045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204796944000).

106095045000 is an abundant number, since it is smaller than the sum of its proper divisors (303498843000).

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

106095045000 is a wasteful number, since it uses less digits than its factorization.

106095045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106095045000 in words is "one hundred six billion, ninety-five million, forty-five thousand".