101880896 has 28 divisors (see below), whose sum is σ = 217723212. Its totient is φ = 47021568.

The previous prime is 101880871. The next prime is 101880929. The reversal of 101880896 is 698088101.

It can be written as a sum of positive squares in 2 ways, for example, as 30647296 + 71233600 = 5536^2 + 8440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60395 + ... + 62058.

It is an arithmetic number, because the mean of its divisors is an integer number (7775829).

Almost surely, 2^101880896 is an apocalyptic number.

101880896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101880896 is an abundant number, since it is smaller than the sum of its proper divisors (115842316).

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

101880896 is a wasteful number, since it uses less digits than its factorization.

101880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122478 (or 122468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 101880896 is about 10093.6066893851. The cubic root of 101880896 is about 467.0509415334.

The spelling of 101880896 in words is "one hundred one million, eight hundred eighty thousand, eight hundred ninety-six".