105011005557590 has 128 divisors (see below), whose sum is σ = 214418360217600. Its totient is φ = 36693659520000.

The previous prime is 105011005557589. The next prime is 105011005557599. The reversal of 105011005557590 is 95755500110501.

It is a super-2 number, since 2×105011005557590² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011005557599) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326773811 + ... + 327095009.

It is an arithmetic number, because the mean of its divisors is an integer number (1675143439200).

Almost surely, 2^{105011005557590} is an apocalyptic number.

105011005557590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105011005557590 is an abundant number, since it is smaller than the sum of its proper divisors (109407354660010).

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

105011005557590 is a wasteful number, since it uses less digits than its factorization.

105011005557590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322350.

The product of its (nonzero) digits is 196875, while the sum is 44.

The spelling of 105011005557590 in words is "one hundred five trillion, eleven billion, five million, five hundred fifty-seven thousand, five hundred ninety".