105539070 has 128 divisors (see below), whose sum is σ = 316947456. Its totient is φ = 21897216.

The previous prime is 105539069. The next prime is 105539081. The reversal of 105539070 is 70935501.

It is a happy number.

It is a super-2 number, since 2×105539070² = 22276990592929800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182622 + ... + 183198.

It is an arithmetic number, because the mean of its divisors is an integer number (2476152).

Almost surely, 2^105539070 is an apocalyptic number.

105539070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105539070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158473728).

105539070 is an abundant number, since it is smaller than the sum of its proper divisors (211408386).

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

105539070 is a wasteful number, since it uses less digits than its factorization.

105539070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 105539070 is about 10273.2210138788. The cubic root of 105539070 is about 472.5753750025.

The spelling of 105539070 in words is "one hundred five million, five hundred thirty-nine thousand, seventy".