105011010556100 has 72 divisors (see below), whose sum is σ = 248612571714528. Its totient is φ = 38182308908800.

The previous prime is 105011010556091. The next prime is 105011010556129. The reversal of 105011010556100 is 1655010110501.

It is a super-2 number, since 2×105011010556100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105011010556100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7585352 + ... + 16357248.

It is an arithmetic number, because the mean of its divisors is an integer number (3452952384924).

Almost surely, 2^{105011010556100} is an apocalyptic number.

105011010556100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011010556100 is an abundant number, since it is smaller than the sum of its proper divisors (143601561158428).

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

105011010556100 is a wasteful number, since it uses less digits than its factorization.

105011010556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782805 (or 8782798 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 105011010556100 its reverse (1655010110501), we get a palindrome (106666020666601).

The spelling of 105011010556100 in words is "one hundred five trillion, eleven billion, ten million, five hundred fifty-six thousand, one hundred".