100606000106051 has 48 divisors (see below), whose sum is σ = 112425473815200. Its totient is φ = 89949258432000.

The previous prime is 100606000106011. The next prime is 100606000106081. The reversal of 100606000106051 is 150601000606001.

It is not a de Polignac number, because 100606000106051 - 2¹⁰ = 100606000105027 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100606000106051.

It is not an unprimeable number, because it can be changed into a prime (100606000106011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882439871 + ... + 3882465783.

It is an arithmetic number, because the mean of its divisors is an integer number (2342197371150).

Almost surely, 2^{100606000106051} is an apocalyptic number.

100606000106051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100606000106051 is a deficient number, since it is larger than the sum of its proper divisors (11819473709149).

100606000106051 is a wasteful number, since it uses less digits than its factorization.

100606000106051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28148 (or 28137 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 100606000106051 in words is "one hundred trillion, six hundred six billion, one hundred six thousand, fifty-one".