101481975 has 36 divisors (see below), whose sum is σ = 207735216. Its totient is φ = 46391040.

The previous prime is 101481937. The next prime is 101482013. The reversal of 101481975 is 579184101.

101481975 is a `hidden beast` number, since 101 + 481 + 9 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (101481937) and next prime (101482013).

It is not a de Polignac number, because 101481975 - 2¹³ = 101473783 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30642 + ... + 33791.

Almost surely, 2^101481975 is an apocalyptic number.

101481975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101481975 is an abundant number, since it is smaller than the sum of its proper divisors (106253241).

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

101481975 is a wasteful number, since it uses less digits than its factorization.

101481975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64456 (or 64448 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 101481975 is about 10073.8262343560. The cubic root of 101481975 is about 466.4405551436.

The spelling of 101481975 in words is "one hundred one million, four hundred eighty-one thousand, nine hundred seventy-five".