106005030 has 64 divisors (see below), whose sum is σ = 270604800. Its totient is φ = 26484224.

The previous prime is 106005023. The next prime is 106005061. The reversal of 106005030 is 30500601.

It is a super-2 number, since 2×106005030² = 22474132770601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 176671 + ... + 177269.

It is an arithmetic number, because the mean of its divisors is an integer number (4228200).

Almost surely, 2^106005030 is an apocalyptic number.

106005030 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 106005030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135302400).

106005030 is an abundant number, since it is smaller than the sum of its proper divisors (164599770).

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

106005030 is a wasteful number, since it uses less digits than its factorization.

106005030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 106005030 is about 10295.8744164835. The cubic root of 106005030 is about 473.2698348772.

Adding to 106005030 its reverse (30500601), we get a palindrome (136505631).

The spelling of 106005030 in words is "one hundred six million, five thousand, thirty".