106290450195075 has 72 divisors (see below), whose sum is σ = 198660089628000. Its totient is φ = 54222229670400.

The previous prime is 106290450195073. The next prime is 106290450195079. The reversal of 106290450195075 is 570591054092601.

106290450195075 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 90 + 45 + 0 + 1 + 9 + 507 + 5 = 666.

It is a Cunningham number, because it is equal to 10309726²-1.

It is not a de Polignac number, because 106290450195075 - 2¹ = 106290450195073 is a prime.

It is a super-2 number, since 2×106290450195075² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106290450195073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236899551 + ... + 237347799.

It is an arithmetic number, because the mean of its divisors is an integer number (2759167911500).

Almost surely, 2^{106290450195075} is an apocalyptic number.

106290450195075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106290450195075 is a deficient number, since it is larger than the sum of its proper divisors (92369639432925).

106290450195075 is a wasteful number, since it uses less digits than its factorization.

106290450195075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494109 (or 494101 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 106290450195075 in words is "one hundred six trillion, two hundred ninety billion, four hundred fifty million, one hundred ninety-five thousand, seventy-five".