105663451001042 has 32 divisors (see below), whose sum is σ = 178873357320000. Its totient is φ = 46370774721600.

The previous prime is 105663451000981. The next prime is 105663451001107. The reversal of 105663451001042 is 240100154366501.

It is a super-2 number, since 2×105663451001042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105663451000987 and 105663451001005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12250292 + ... + 19010432.

It is an arithmetic number, because the mean of its divisors is an integer number (5589792416250).

Almost surely, 2^{105663451001042} is an apocalyptic number.

105663451001042 is a deficient number, since it is larger than the sum of its proper divisors (73209906318958).

105663451001042 is a wasteful number, since it uses less digits than its factorization.

105663451001042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784682.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 105663451001042 in words is "one hundred five trillion, six hundred sixty-three billion, four hundred fifty-one million, one thousand, forty-two".