55358100 has 288 divisors, whose sum is σ = 212486400. Its totient is φ = 12096000.

The previous prime is 55358099. The next prime is 55358113. The reversal of 55358100 is 185355.

55358100 is a `hidden beast` number, since 553 + 5 + 8 + 100 = 666.

It is a super-2 number, since 2×55358100² = 6129038471220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548050 + ... + 548150.

It is an arithmetic number, because the mean of its divisors is an integer number (737800).

Almost surely, 2^55358100 is an apocalyptic number.

55358100 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 55358100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

55358100 is an abundant number, since it is smaller than the sum of its proper divisors (157128300).

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

55358100 is a wasteful number, since it uses less digits than its factorization.

55358100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55358100 is about 7440.3024132088. The cubic root of 55358100 is about 381.1188171800.

It can be divided in two parts, 553 and 58100, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 55358100 in words is "fifty-five million, three hundred fifty-eight thousand, one hundred".