101982240 has 288 divisors, whose sum is σ = 375350976. Its totient is φ = 26127360.

The previous prime is 101982239. The next prime is 101982263. The reversal of 101982240 is 42289101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671810 + ... + 1671870.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^101982240 is an apocalyptic number.

101982240 is a gapful number since it is divisible by the number (10) 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 101982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

101982240 is an abundant number, since it is smaller than the sum of its proper divisors (273368736).

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

101982240 is an equidigital number, since it uses as much as digits as its factorization.

101982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101982240 is about 10098.6256490673. The cubic root of 101982240 is about 467.2057534320.

The spelling of 101982240 in words is "one hundred one million, nine hundred eighty-two thousand, two hundred forty".