48198100 has 36 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 19043680.

The previous prime is 48198091. The next prime is 48198119. The reversal of 48198100 is 189184.

It is a super-2 number, since 2×48198100² = 4646113687220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5397 + ... + 11203.

It is an arithmetic number, because the mean of its divisors is an integer number (2940784).

Almost surely, 2^48198100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48198100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

48198100 is an abundant number, since it is smaller than the sum of its proper divisors (57670124).

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

48198100 is a wasteful number, since it uses less digits than its factorization.

48198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 48198100 is about 6942.4851458249. The cubic root of 48198100 is about 363.9233928870.

The spelling of 48198100 in words is "forty-eight million, one hundred ninety-eight thousand, one hundred".