105701020 has 24 divisors (see below), whose sum is σ = 224051184. Its totient is φ = 41884416.

The previous prime is 105701017. The next prime is 105701023. The reversal of 105701020 is 20107501.

It is an interprime number because it is at equal distance from previous prime (105701017) and next prime (105701023).

It is a super-2 number, since 2×105701020² = 22345411258080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105700985 and 105701003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105701023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22557 + ... + 26836.

It is an arithmetic number, because the mean of its divisors is an integer number (9335466).

Almost surely, 2^105701020 is an apocalyptic number.

105701020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105701020 is an abundant number, since it is smaller than the sum of its proper divisors (118350164).

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

105701020 is a wasteful number, since it uses less digits than its factorization.

105701020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49509 (or 49507 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105701020 is about 10281.1001356859. The cubic root of 105701020 is about 472.8169742141.

Adding to 105701020 its reverse (20107501), we get a palindrome (125808521).

The spelling of 105701020 in words is "one hundred five million, seven hundred one thousand, twenty".