101242368 has 120 divisors (see below), whose sum is σ = 296195328. Its totient is φ = 33288192.

The previous prime is 101242367. The next prime is 101242369. The reversal of 101242368 is 863242101.

It is an interprime number because it is at equal distance from previous prime (101242367) and next prime (101242369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101242363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585130 + ... + 585302.

Almost surely, 2^101242368 is an apocalyptic number.

101242368 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 101242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148097664).

101242368 is an abundant number, since it is smaller than the sum of its proper divisors (194952960).

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

101242368 is a wasteful number, since it uses less digits than its factorization.

101242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101242368 is about 10061.9266544733. The cubic root of 101242368 is about 466.0731647848.

Adding to 101242368 its reverse (863242101), we get a palindrome (964484469).

The spelling of 101242368 in words is "one hundred one million, two hundred forty-two thousand, three hundred sixty-eight".