105120855 has 64 divisors (see below), whose sum is σ = 215147520. Its totient is φ = 47703168.

The previous prime is 105120839. The next prime is 105120857. The reversal of 105120855 is 558021501.

It is not a de Polignac number, because 105120855 - 2⁴ = 105120839 is a prime.

It is a super-2 number, since 2×105120855² = 22100788311862050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120857) 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, 163164 + ... + 163806.

It is an arithmetic number, because the mean of its divisors is an integer number (3361680).

Almost surely, 2^105120855 is an apocalyptic number.

105120855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105120855 is an abundant number, since it is smaller than the sum of its proper divisors (110026665).

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

105120855 is a wasteful number, since it uses less digits than its factorization.

105120855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 105120855 is about 10252.8461902049. The cubic root of 105120855 is about 471.9503308239.

The spelling of 105120855 in words is "one hundred five million, one hundred twenty thousand, eight hundred fifty-five".