106056500 has 72 divisors (see below), whose sum is σ = 254743944. Its totient is φ = 38544000.

The previous prime is 106056469. The next prime is 106056521. The reversal of 106056500 is 5650601.

It can be written as a sum of positive squares in 4 ways, for example, as 26275876 + 79780624 = 5126^2 + 8932^2 .

It is a super-2 number, since 2×106056500² = 22495962384500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59624 + ... + 61376.

Almost surely, 2^106056500 is an apocalyptic number.

106056500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127371972).

106056500 is an abundant number, since it is smaller than the sum of its proper divisors (148687444).

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

106056500 is a wasteful number, since it uses less digits than its factorization.

106056500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 106056500 is about 10298.3736580103. The cubic root of 106056500 is about 473.3464201015.

The spelling of 106056500 in words is "one hundred six million, fifty-six thousand, five hundred".