100605082890 has 32 divisors (see below), whose sum is σ = 260025446016. Its totient is φ = 24764328000.

The previous prime is 100605082849. The next prime is 100605082909. The reversal of 100605082890 is 98280506001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128980486 + ... + 128981265.

It is an arithmetic number, because the mean of its divisors is an integer number (8125795188).

Almost surely, 2^100605082890 is an apocalyptic number.

100605082890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100605082890 is an abundant number, since it is smaller than the sum of its proper divisors (159420363126).

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

100605082890 is a wasteful number, since it uses less digits than its factorization.

100605082890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257961774.

The product of its (nonzero) digits is 34560, while the sum is 39.

Adding to 100605082890 its reverse (98280506001), we get a palindrome (198885588891).

The spelling of 100605082890 in words is "one hundred billion, six hundred five million, eighty-two thousand, eight hundred ninety".