101278400 has 42 divisors (see below), whose sum is σ = 249212100. Its totient is φ = 40510720.

The previous prime is 101278399. The next prime is 101278409. The reversal of 101278400 is 4872101.

It is not an unprimeable number, because it can be changed into a prime (101278409) 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, 30050 + ... + 33249.

Almost surely, 2^101278400 is an apocalyptic number.

101278400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101278400 is an abundant number, since it is smaller than the sum of its proper divisors (147933700).

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

101278400 is an equidigital number, since it uses as much as digits as its factorization.

101278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63321 (or 63306 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 101278400 is about 10063.7170071500. The cubic root of 101278400 is about 466.1284497961.

The spelling of 101278400 in words is "one hundred one million, two hundred seventy-eight thousand, four hundred".