101400768 has 224 divisors, whose sum is σ = 348203520. Its totient is φ = 28339200.

The previous prime is 101400743. The next prime is 101400773. The reversal of 101400768 is 867004101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1003918 + ... + 1004018.

It is an arithmetic number, because the mean of its divisors is an integer number (1554480).

Almost surely, 2^101400768 is an apocalyptic number.

101400768 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 101400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

101400768 is an abundant number, since it is smaller than the sum of its proper divisors (246802752).

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

101400768 is a wasteful number, since it uses less digits than its factorization.

101400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101400768 is about 10069.7948340569. The cubic root of 101400768 is about 466.3161049767.

Adding to 101400768 its reverse (867004101), we get a palindrome (968404869).

The spelling of 101400768 in words is "one hundred one million, four hundred thousand, seven hundred sixty-eight".