101991108 has 48 divisors (see below), whose sum is σ = 254411136. Its totient is φ = 31722240.

The previous prime is 101991091. The next prime is 101991119. The reversal of 101991108 is 801199101.

It is a happy number.

It is a super-2 number, since 2×101991108² = 20804372222135328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 6810 + ... + 15822.

It is an arithmetic number, because the mean of its divisors is an integer number (5300232).

Almost surely, 2^101991108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101991108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127205568).

101991108 is an abundant number, since it is smaller than the sum of its proper divisors (152420028).

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

101991108 is a wasteful number, since it uses less digits than its factorization.

101991108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

The square root of 101991108 is about 10099.0647091699. The cubic root of 101991108 is about 467.2192952034.

The spelling of 101991108 in words is "one hundred one million, nine hundred ninety-one thousand, one hundred eight".