106057800 has 72 divisors (see below), whose sum is σ = 356183490. Its totient is φ = 28281600.

The previous prime is 106057769. The next prime is 106057801. The reversal of 106057800 is 8750601.

It can be written as a sum of positive squares in 3 ways, for example, as 66292164 + 39765636 = 8142^2 + 6306^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106057800² = 22496513881680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106057801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27661 + ... + 31260.

Almost surely, 2^106057800 is an apocalyptic number.

106057800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106057800 is an abundant number, since it is smaller than the sum of its proper divisors (250125690).

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

106057800 is a wasteful number, since it uses less digits than its factorization.

106057800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58943 (or 58931 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106057800 is about 10298.4367745789. The cubic root of 106057800 is about 473.3483541267.

The spelling of 106057800 in words is "one hundred six million, fifty-seven thousand, eight hundred".