105089820 has 48 divisors (see below), whose sum is σ = 321003648. Its totient is φ = 25476160.

The previous prime is 105089819. The next prime is 105089821. The reversal of 105089820 is 28980501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105089819) and next prime (105089821).

It is a super-2 number, since 2×105089820² = 22087740535264800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105089821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78954 + ... + 80273.

It is an arithmetic number, because the mean of its divisors is an integer number (6687576).

Almost surely, 2^105089820 is an apocalyptic number.

105089820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105089820 is an abundant number, since it is smaller than the sum of its proper divisors (215913828).

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

105089820 is a wasteful number, since it uses less digits than its factorization.

105089820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159250 (or 159248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 105089820 is about 10251.3325963018. The cubic root of 105089820 is about 471.9038813660.

The spelling of 105089820 in words is "one hundred five million, eighty-nine thousand, eight hundred twenty".