101987136 has 84 divisors (see below), whose sum is σ = 307746400. Its totient is φ = 32203008.

The previous prime is 101987101. The next prime is 101987143. The reversal of 101987136 is 631789101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101987136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6285 + ... + 15603.

Almost surely, 2^101987136 is an apocalyptic number.

101987136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153873200).

101987136 is an abundant number, since it is smaller than the sum of its proper divisors (205759264).

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

101987136 is a wasteful number, since it uses less digits than its factorization.

101987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 101987136 is about 10098.8680553813. The cubic root of 101987136 is about 467.2132299062.

The spelling of 101987136 in words is "one hundred one million, nine hundred eighty-seven thousand, one hundred thirty-six".