55350100 has 36 divisors (see below), whose sum is σ = 129351964. Its totient is φ = 20436480.

The previous prime is 55350089. The next prime is 55350103. The reversal of 55350100 is 105355.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 54848836 = 708^2 + 7406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55350103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19989 + ... + 22588.

Almost surely, 2^55350100 is an apocalyptic number.

55350100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55350100 is an abundant number, since it is smaller than the sum of its proper divisors (74001864).

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

55350100 is a wasteful number, since it uses less digits than its factorization.

55350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42604 (or 42597 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 55350100 is about 7439.7647812280. The cubic root of 55350100 is about 381.1004573409.

Adding to 55350100 its reverse (105355), we get a palindrome (55455455).

It can be divided in two parts, 553 and 50100, that added together give a cube (50653 = 37³).

The spelling of 55350100 in words is "fifty-five million, three hundred fifty thousand, one hundred".