101400663 has 64 divisors (see below), whose sum is σ = 177730560. Its totient is φ = 49932288.

The previous prime is 101400661. The next prime is 101400679. The reversal of 101400663 is 366004101.

It is not a de Polignac number, because 101400663 - 2¹ = 101400661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586045 + ... + 586217.

It is an arithmetic number, because the mean of its divisors is an integer number (2777040).

Almost surely, 2^101400663 is an apocalyptic number.

101400663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101400663 is a deficient number, since it is larger than the sum of its proper divisors (76329897).

101400663 is a wasteful number, since it uses less digits than its factorization.

101400663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 101400663 is about 10069.7896204439. The cubic root of 101400663 is about 466.3159440206.

Adding to 101400663 its reverse (366004101), we get a palindrome (467404764).

The spelling of 101400663 in words is "one hundred one million, four hundred thousand, six hundred sixty-three".