53198100 has 288 divisors, whose sum is σ = 193737600. Its totient is φ = 12441600.

The previous prime is 53198071. The next prime is 53198107. The reversal of 53198100 is 189135.

It is a super-2 number, since 2×53198100² = 5660075687220000, 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 not an unprimeable number, because it can be changed into a prime (53198107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872070 + ... + 872130.

It is an arithmetic number, because the mean of its divisors is an integer number (672700).

Almost surely, 2^53198100 is an apocalyptic number.

53198100 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 53198100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

53198100 is an abundant number, since it is smaller than the sum of its proper divisors (140539500).

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

53198100 is a wasteful number, since it uses less digits than its factorization.

53198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 53198100 is about 7293.7027633432. The cubic root of 53198100 is about 376.0959936737.

The spelling of 53198100 in words is "fifty-three million, one hundred ninety-eight thousand, one hundred".