1013754105 has 144 divisors (see below), whose sum is σ = 2206189440. Its totient is φ = 421604352.

The previous prime is 1013754089. The next prime is 1013754109. The reversal of 1013754105 is 5014573101.

It is not a de Polignac number, because 1013754105 - 2⁴ = 1013754089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013754109) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7293126 + ... + 7293264.

It is an arithmetic number, because the mean of its divisors is an integer number (15320760).

Almost surely, 2^1013754105 is an apocalyptic number.

1013754105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013754105 is an abundant number, since it is smaller than the sum of its proper divisors (1192435335).

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

1013754105 is a wasteful number, since it uses less digits than its factorization.

1013754105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1013754105 is about 31839.5054138722. The cubic root of 1013754105 is about 1004.5638413327.

The spelling of 1013754105 in words is "one billion, thirteen million, seven hundred fifty-four thousand, one hundred five".