185420237948100 has 243 divisors, whose sum is σ = 603548113341901. Its totient is φ = 49442455533600.

The previous prime is 185420237948087. The next prime is 185420237948117. The reversal of 185420237948100 is 1849732024581.

The square root of 185420237948100 is 13616910.

It is a perfect power (a square), and thus also a powerful number.

185420237948100 is a `hidden beast` number, since 1 + 8 + 5 + 420 + 2 + 3 + 79 + 48 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66751285661316 + 118668952286784 = 8170146^2 + 10893528^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×185420237948100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11029688695 + ... + 11029705505.

Almost surely, 2^{185420237948100} is an apocalyptic number.

185420237948100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

185420237948100 is the 13616910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185420237948100

185420237948100 is an abundant number, since it is smaller than the sum of its proper divisors (418127875393801).

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

185420237948100 is an frugal number, since it uses more digits than its factorization.

185420237948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 16821 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 185420237948100 in words is "one hundred eighty-five trillion, four hundred twenty billion, two hundred thirty-seven million, nine hundred forty-eight thousand, one hundred".