101252984 has 16 divisors (see below), whose sum is σ = 216970800. Its totient is φ = 43394112.

The previous prime is 101252959. The next prime is 101252989. The reversal of 101252984 is 489252101.

It is a self number, because there is not a number n which added to its sum of digits gives 101252984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101252989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 903989 + ... + 904100.

It is an arithmetic number, because the mean of its divisors is an integer number (13560675).

Almost surely, 2^101252984 is an apocalyptic number.

101252984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101252984 is an abundant number, since it is smaller than the sum of its proper divisors (115717816).

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

101252984 is a wasteful number, since it uses less digits than its factorization.

101252984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808102 (or 1808098 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 101252984 is about 10062.4541738087. The cubic root of 101252984 is about 466.0894546045.

The spelling of 101252984 in words is "one hundred one million, two hundred fifty-two thousand, nine hundred eighty-four".