101120985 has 48 divisors (see below), whose sum is σ = 203748480. Its totient is φ = 45434880.

The previous prime is 101120951. The next prime is 101120989. The reversal of 101120985 is 589021101.

It is not a de Polignac number, because 101120985 - 2¹² = 101116889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120989) 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, 15865 + ... + 21305.

It is an arithmetic number, because the mean of its divisors is an integer number (4244760).

Almost surely, 2^101120985 is an apocalyptic number.

101120985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101120985 is an abundant number, since it is smaller than the sum of its proper divisors (102627495).

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

101120985 is a wasteful number, since it uses less digits than its factorization.

101120985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 101120985 is about 10055.8930483573. The cubic root of 101120985 is about 465.8868265142.

The spelling of 101120985 in words is "one hundred one million, one hundred twenty thousand, nine hundred eighty-five".