101082890 has 32 divisors (see below), whose sum is σ = 187840080. Its totient is φ = 39135744.

The previous prime is 101082887. The next prime is 101082923. The reversal of 101082890 is 98280101.

It can be written as a sum of positive squares in 8 ways, for example, as 88416409 + 12666481 = 9403^2 + 3559^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84134 + ... + 85326.

Almost surely, 2^101082890 is an apocalyptic number.

101082890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101082890 is a deficient number, since it is larger than the sum of its proper divisors (86757190).

101082890 is a wasteful number, since it uses less digits than its factorization.

101082890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466.

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 101082890 is about 10053.9987069822. The cubic root of 101082890 is about 465.8283151253.

The spelling of 101082890 in words is "one hundred one million, eighty-two thousand, eight hundred ninety".