100106005061049 has 32 divisors (see below), whose sum is σ = 143986817909760. Its totient is φ = 61498795767552.

The previous prime is 100106005061039. The next prime is 100106005061059. The reversal of 100106005061049 is 940160500601001.

It is an interprime number because it is at equal distance from previous prime (100106005061039) and next prime (100106005061059).

It is not a de Polignac number, because 100106005061049 - 2¹¹ = 100106005059001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100106005061039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116987847 + ... + 117840435.

It is an arithmetic number, because the mean of its divisors is an integer number (4499588059680).

Almost surely, 2^{100106005061049} is an apocalyptic number.

It is an amenable number.

100106005061049 is a deficient number, since it is larger than the sum of its proper divisors (43880812848711).

100106005061049 is a wasteful number, since it uses less digits than its factorization.

100106005061049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857729.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 100106005061049 in words is "one hundred trillion, one hundred six billion, five million, sixty-one thousand, forty-nine".