55140100 has 36 divisors (see below), whose sum is σ = 120316084. Its totient is φ = 21934080.

The previous prime is 55140079. The next prime is 55140119. The reversal of 55140100 is 104155.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1937664 + 53202436 = 1392^2 + 7294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17872 + ... + 20728.

Almost surely, 2^55140100 is an apocalyptic number.

55140100 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 55140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60158042).

55140100 is an abundant number, since it is smaller than the sum of its proper divisors (65175984).

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

55140100 is a wasteful number, since it uses less digits than its factorization.

55140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 55140100 is about 7425.6380197260. The cubic root of 55140100 is about 380.6178775238.

Adding to 55140100 its reverse (104155), we get a palindrome (55244255).

The spelling of 55140100 in words is "fifty-five million, one hundred forty thousand, one hundred".