105034590 has 64 divisors (see below), whose sum is σ = 283982400. Its totient is φ = 27625536.

The previous prime is 105034577. The next prime is 105034637. The reversal of 105034590 is 95430501.

It is a super-2 number, since 2×105034590² = 22064530192936200, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438794 + ... + 1438866.

It is an arithmetic number, because the mean of its divisors is an integer number (4437225).

Almost surely, 2^105034590 is an apocalyptic number.

105034590 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 105034590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141991200).

105034590 is an abundant number, since it is smaller than the sum of its proper divisors (178947810).

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

105034590 is an frugal number, since it uses more digits than its factorization.

105034590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105034590 is about 10248.6384461547. The cubic root of 105034590 is about 471.8211971170.

Multiplying 105034590 by its product of nonzero digits (2700), we get a cube (283593393000 = 6570³).

The spelling of 105034590 in words is "one hundred five million, thirty-four thousand, five hundred ninety".