101538195 has 64 divisors (see below), whose sum is σ = 191476224. Its totient is φ = 45393920.

The previous prime is 101538191. The next prime is 101538197. The reversal of 101538195 is 591835101.

It is not a de Polignac number, because 101538195 - 2² = 101538191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (101538191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148324 + ... + 149006.

It is an arithmetic number, because the mean of its divisors is an integer number (2991816).

Almost surely, 2^101538195 is an apocalyptic number.

101538195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101538195 is a deficient number, since it is larger than the sum of its proper divisors (89938029).

101538195 is a wasteful number, since it uses less digits than its factorization.

101538195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its (nonzero) digits is 5400, while the sum is 33.

The square root of 101538195 is about 10076.6162475307. The cubic root of 101538195 is about 466.5266737114.

The spelling of 101538195 in words is "one hundred one million, five hundred thirty-eight thousand, one hundred ninety-five".