101422400 has 42 divisors (see below), whose sum is σ = 249566430. Its totient is φ = 40568320.

The previous prime is 101422393. The next prime is 101422403. The reversal of 101422400 is 4224101.

It can be written as a sum of positive squares in 3 ways, for example, as 16192576 + 85229824 = 4024^2 + 9232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30095 + ... + 33294.

Almost surely, 2^101422400 is an apocalyptic number.

101422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101422400 is an abundant number, since it is smaller than the sum of its proper divisors (148144030).

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

101422400 is an equidigital number, since it uses as much as digits as its factorization.

101422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63411 (or 63396 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 101422400 is about 10070.8688800917. The cubic root of 101422400 is about 466.3492626242.

Adding to 101422400 its reverse (4224101), we get a palindrome (105646501).

The spelling of 101422400 in words is "one hundred one million, four hundred twenty-two thousand, four hundred".