55022100 has 216 divisors, whose sum is σ = 195924960. Its totient is φ = 11854080.

The previous prime is 55022087. The next prime is 55022113. The reversal of 55022100 is 122055.

It is an interprime number because it is at equal distance from previous prime (55022087) and next prime (55022113).

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 55022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279202 + ... + 279398.

It is an arithmetic number, because the mean of its divisors is an integer number (907060).

Almost surely, 2^55022100 is an apocalyptic number.

55022100 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 55022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

55022100 is an abundant number, since it is smaller than the sum of its proper divisors (140902860).

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

55022100 is a wasteful number, since it uses less digits than its factorization.

55022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 55022100 is about 7417.6883191463. The cubic root of 55022100 is about 380.3461757700.

Adding to 55022100 its reverse (122055), we get a palindrome (55144155).

The spelling of 55022100 in words is "fifty-five million, twenty-two thousand, one hundred".