101361204 has 108 divisors (see below), whose sum is σ = 306302724. Its totient is φ = 28159488.

The previous prime is 101361179. The next prime is 101361209. The reversal of 101361204 is 402163101.

It is a happy number.

101361204 is a `hidden beast` number, since 101 + 361 + 204 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50381604 + 50979600 = 7098^2 + 7140^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101361209) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 64492 + ... + 66044.

Almost surely, 2^101361204 is an apocalyptic number.

101361204 is a gapful number since it is divisible by the number (14) 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 101361204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153151362).

101361204 is an abundant number, since it is smaller than the sum of its proper divisors (204941520).

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

101361204 is a wasteful number, since it uses less digits than its factorization.

101361204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101361204 is about 10067.8301535137. The cubic root of 101361204 is about 466.2554488602.

The spelling of 101361204 in words is "one hundred one million, three hundred sixty-one thousand, two hundred four".