1015414101 has 12 divisors (see below), whose sum is σ = 1579533228. Its totient is φ = 624870144.

The previous prime is 1015414009. The next prime is 1015414111. The reversal of 1015414101 is 1014145101.

It can be written as a sum of positive squares in 2 ways, for example, as 426381201 + 589032900 = 20649^2 + 24270^2 .

It is not a de Polignac number, because 1015414101 - 2¹⁴ = 1015397717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015414111) 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, 4339260 + ... + 4339493.

It is an arithmetic number, because the mean of its divisors is an integer number (131627769).

Almost surely, 2^1015414101 is an apocalyptic number.

It is an amenable number.

1015414101 is a deficient number, since it is larger than the sum of its proper divisors (564119127).

1015414101 is a wasteful number, since it uses less digits than its factorization.

1015414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678772 (or 8678769 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1015414101 is about 31865.5629324197. The cubic root of 1015414101 is about 1005.1118580478. Note that the first 3 decimals are identical.

Adding to 1015414101 its reverse (1014145101), we get a palindrome (2029559202).

The spelling of 1015414101 in words is "one billion, fifteen million, four hundred fourteen thousand, one hundred one".