10906277503005 has 128 divisors (see below), whose sum is σ = 20125296407040. Its totient is φ = 5599772559360.

The previous prime is 10906277502971. The next prime is 10906277503019. The reversal of 10906277503005 is 50030577260901.

10906277503005 is a `hidden beast` number, since 10 + 9 + 0 + 62 + 77 + 503 + 0 + 0 + 5 = 666.

10906277503005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10906277503005 - 2⁶ = 10906277502941 is a prime.

It is a super-3 number, since 3×10906277503005³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 686915127 + ... + 686931003.

It is an arithmetic number, because the mean of its divisors is an integer number (157228878180).

Almost surely, 2^{10906277503005} is an apocalyptic number.

10906277503005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10906277503005 is a deficient number, since it is larger than the sum of its proper divisors (9219018904035).

10906277503005 is a wasteful number, since it uses less digits than its factorization.

10906277503005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628 (or 17622 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 10906277503005 in words is "ten trillion, nine hundred six billion, two hundred seventy-seven million, five hundred three thousand, five".