105634281290368 has 16 divisors (see below), whose sum is σ = 210443294758410. Its totient is φ = 52817140645120.

The previous prime is 105634281290347. The next prime is 105634281290467. The reversal of 105634281290368 is 863092182436501.

It can be written as a sum of positive squares in only one way, i.e., 75780646323264 + 29853634967104 = 8705208^2 + 5463848^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105634281290368² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412633911163 + ... + 412633911418.

Almost surely, 2^{105634281290368} is an apocalyptic number.

It is an amenable number.

105634281290368 is a deficient number, since it is larger than the sum of its proper divisors (104809013468042).

105634281290368 is an frugal number, since it uses more digits than its factorization.

105634281290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825267822595 (or 825267822583 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 105634281290368 in words is "one hundred five trillion, six hundred thirty-four billion, two hundred eighty-one million, two hundred ninety thousand, three hundred sixty-eight".