101937987 has 32 divisors (see below), whose sum is σ = 157896000. Its totient is φ = 64915200.

The previous prime is 101937977. The next prime is 101937989. The reversal of 101937987 is 789739101.

It is not a de Polignac number, because 101937987 - 2¹⁹ = 101413699 is a prime.

It is a super-2 number, since 2×101937987² = 20782706387224338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101937989) 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 31 ways as a sum of consecutive naturals, for example, 78439 + ... + 79727.

It is an arithmetic number, because the mean of its divisors is an integer number (4934250).

Almost surely, 2^101937987 is an apocalyptic number.

101937987 is a deficient number, since it is larger than the sum of its proper divisors (55958013).

101937987 is a wasteful number, since it uses less digits than its factorization.

101937987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 101937987 is about 10096.4343706083. The cubic root of 101937987 is about 467.1381656917.

The spelling of 101937987 in words is "one hundred one million, nine hundred thirty-seven thousand, nine hundred eighty-seven".