101879085 has 48 divisors (see below), whose sum is σ = 206874432. Its totient is φ = 42336000.

The previous prime is 101879069. The next prime is 101879119. The reversal of 101879085 is 580978101.

It is not a de Polignac number, because 101879085 - 2⁴ = 101879069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1785 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (4309884).

Almost surely, 2^101879085 is an apocalyptic number.

101879085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101879085 is an abundant number, since it is smaller than the sum of its proper divisors (104995347).

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

101879085 is a wasteful number, since it uses less digits than its factorization.

101879085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 101879085 is about 10093.5169787344. The cubic root of 101879085 is about 467.0481741377.

The spelling of 101879085 in words is "one hundred one million, eight hundred seventy-nine thousand, eighty-five".