54101400 has 96 divisors (see below), whose sum is σ = 172317840. Its totient is φ = 14031360.

The previous prime is 54101389. The next prime is 54101413. The reversal of 54101400 is 410145.

It is a super-2 number, since 2×54101400² = 5853922963920000, which contains 22 as substring.

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 54101400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20982 + ... + 23418.

Almost surely, 2^54101400 is an apocalyptic number.

54101400 is a gapful number since it is divisible by the number (50) 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 54101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86158920).

54101400 is an abundant number, since it is smaller than the sum of its proper divisors (118216440).

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

54101400 is a wasteful number, since it uses less digits than its factorization.

54101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

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

The square root of 54101400 is about 7355.3653886126. The cubic root of 54101400 is about 378.2127522129.

Adding to 54101400 its reverse (410145), we get a palindrome (54511545).

It can be divided in two parts, 54 and 101400, that multiplied together give a square (5475600 = 2340²).

The spelling of 54101400 in words is "fifty-four million, one hundred one thousand, four hundred".