1006101105490 has 256 divisors, whose sum is σ = 2178042048000. Its totient is φ = 331120852992.

The previous prime is 1006101105481. The next prime is 1006101105491. The reversal of 1006101105490 is 945011016001.

It is not an unprimeable number, because it can be changed into a prime (1006101105491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 516213036 + ... + 516214984.

It is an arithmetic number, because the mean of its divisors is an integer number (8507976750).

Almost surely, 2^{1006101105490} is an apocalyptic number.

1006101105490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006101105490 is an abundant number, since it is smaller than the sum of its proper divisors (1171940942510).

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

1006101105490 is a wasteful number, since it uses less digits than its factorization.

1006101105490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 1006101105490 in words is "one trillion, six billion, one hundred one million, one hundred five thousand, four hundred ninety".