101125368 has 32 divisors (see below), whose sum is σ = 280904400. Its totient is φ = 33708384.

The previous prime is 101125357. The next prime is 101125397. The reversal of 101125368 is 863521101.

101125368 is a `hidden beast` number, since 10 + 112 + 536 + 8 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233871 + ... + 234302.

Almost surely, 2^101125368 is an apocalyptic number.

101125368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101125368 is an abundant number, since it is smaller than the sum of its proper divisors (179779032).

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

101125368 is a wasteful number, since it uses less digits than its factorization.

101125368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468188 (or 468178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101125368 is about 10056.1109779079. The cubic root of 101125368 is about 465.8935575683.

Adding to 101125368 its reverse (863521101), we get a palindrome (964646469).

The spelling of 101125368 in words is "one hundred one million, one hundred twenty-five thousand, three hundred sixty-eight".