10105010492418 has 24 divisors (see below), whose sum is σ = 22194109805868. Its totient is φ = 3322195229952.

The previous prime is 10105010492407. The next prime is 10105010492441. The reversal of 10105010492418 is 81429401050101.

10105010492418 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 50 + 104 + 92 + 418 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10099639508049 + 5370984369 = 3177993^2 + 73287^2 .

It is a super-2 number, since 2×10105010492418² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3845132055 + ... + 3845134682.

Almost surely, 2^{10105010492418} is an apocalyptic number.

10105010492418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10105010492418 is an abundant number, since it is smaller than the sum of its proper divisors (12089099313450).

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

10105010492418 is a wasteful number, since it uses less digits than its factorization.

10105010492418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690266818 (or 7690266815 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10105010492418 in words is "ten trillion, one hundred five billion, ten million, four hundred ninety-two thousand, four hundred eighteen".