10634734217 has 16 divisors (see below), whose sum is σ = 11713766400. Its totient is φ = 9609949440.

The previous prime is 10634734211. The next prime is 10634734223. The reversal of 10634734217 is 71243743601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10634734211) and next prime (10634734223).

It is a cyclic number.

It is not a de Polignac number, because 10634734217 - 2¹⁴ = 10634717833 is a prime.

It is a super-2 number, since 2×10634734217² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10634734211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27992 + ... + 148502.

It is an arithmetic number, because the mean of its divisors is an integer number (732110400).

Almost surely, 2^10634734217 is an apocalyptic number.

10634734217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10634734217 is a deficient number, since it is larger than the sum of its proper divisors (1079032183).

10634734217 is a wasteful number, since it uses less digits than its factorization.

10634734217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120736.

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 10634734217 in words is "ten billion, six hundred thirty-four million, seven hundred thirty-four thousand, two hundred seventeen".