101988105 has 32 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 51351552.

The previous prime is 101988101. The next prime is 101988179. The reversal of 101988105 is 501889101.

It is not a de Polignac number, because 101988105 - 2² = 101988101 is a prime.

It is a super-2 number, since 2×101988105² = 20803147122982050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101988101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127567 + ... + 128363.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^101988105 is an apocalyptic number.

101988105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101988105 is a deficient number, since it is larger than the sum of its proper divisors (70379895).

101988105 is a wasteful number, since it uses less digits than its factorization.

101988105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273.

The product of its (nonzero) digits is 2880, while the sum is 33.

The square root of 101988105 is about 10098.9160309411. The cubic root of 101988105 is about 467.2147095967.

The spelling of 101988105 in words is "one hundred one million, nine hundred eighty-eight thousand, one hundred five".