55442100 has 144 divisors (see below), whose sum is σ = 194237568. Its totient is φ = 11919360.

The previous prime is 55442089. The next prime is 55442129. The reversal of 55442100 is 124455.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34924 + ... + 36476.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 2^55442100 is an apocalyptic number.

55442100 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 55442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97118784).

55442100 is an abundant number, since it is smaller than the sum of its proper divisors (138795468).

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

55442100 is a wasteful number, since it uses less digits than its factorization.

55442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 55442100 is about 7445.9452052778. The cubic root of 55442100 is about 381.3114887835.

Adding to 55442100 its reverse (124455), we get a palindrome (55566555).

The spelling of 55442100 in words is "fifty-five million, four hundred forty-two thousand, one hundred".