101288988 has 48 divisors (see below), whose sum is σ = 264382720. Its totient is φ = 33534000.

The previous prime is 101288963. The next prime is 101289011. The reversal of 101288988 is 889882101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13203 + ... + 19413.

Almost surely, 2^101288988 is an apocalyptic number.

101288988 is a gapful number since it is divisible by the number (18) 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 101288988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132191360).

101288988 is an abundant number, since it is smaller than the sum of its proper divisors (163093732).

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

101288988 is a wasteful number, since it uses less digits than its factorization.

101288988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 101288988 is about 10064.2430415804. The cubic root of 101288988 is about 466.1446927991.

It can be divided in two parts, 1012 and 88988, that added together give a square (90000 = 300²).

The spelling of 101288988 in words is "one hundred one million, two hundred eighty-eight thousand, nine hundred eighty-eight".