1006105100100 has 36 divisors (see below), whose sum is σ = 2910997423824. Its totient is φ = 268294693280.

The previous prime is 1006105100093. The next prime is 1006105100107. The reversal of 1006105100100 is 10015016001.

It is an interprime number because it is at equal distance from previous prime (1006105100093) and next prime (1006105100107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1006105100100.

It is not an unprimeable number, because it can be changed into a prime (1006105100107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1676841534 + ... + 1676842133.

Almost surely, 2^{1006105100100} is an apocalyptic number.

1006105100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006105100100 is an abundant number, since it is smaller than the sum of its proper divisors (1904892323724).

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

1006105100100 is a wasteful number, since it uses less digits than its factorization.

1006105100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353683684 (or 3353683677 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 1006105100100 in words is "one trillion, six billion, one hundred five million, one hundred thousand, one hundred".