101450400 has 144 divisors (see below), whose sum is σ = 338603328. Its totient is φ = 26368000.

The previous prime is 101450389. The next prime is 101450431. The reversal of 101450400 is 4054101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101450400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97885 + ... + 98915.

It is an arithmetic number, because the mean of its divisors is an integer number (2351412).

Almost surely, 2^101450400 is an apocalyptic number.

101450400 is a gapful number since it is divisible by the number (10) 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 101450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169301664).

101450400 is an abundant number, since it is smaller than the sum of its proper divisors (237152928).

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

101450400 is a wasteful number, since it uses less digits than its factorization.

101450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 101450400 is about 10072.2589323349. The cubic root of 101450400 is about 466.3921741766.

The spelling of 101450400 in words is "one hundred one million, four hundred fifty thousand, four hundred".