101204825 has 24 divisors (see below), whose sum is σ = 135413208. Its totient is φ = 74746880.

The previous prime is 101204821. The next prime is 101204861. The reversal of 101204825 is 528402101.

It can be written as a sum of positive squares in 12 ways, for example, as 824464 + 100380361 = 908^2 + 10019^2 .

It is not a de Polignac number, because 101204825 - 2² = 101204821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101204825.

It is not an unprimeable number, because it can be changed into a prime (101204821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20279 + ... + 24771.

It is an arithmetic number, because the mean of its divisors is an integer number (5642217).

Almost surely, 2^101204825 is an apocalyptic number.

It is an amenable number.

101204825 is a deficient number, since it is larger than the sum of its proper divisors (34208383).

101204825 is a wasteful number, since it uses less digits than its factorization.

101204825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 101204825 is about 10060.0608845076. The cubic root of 101204825 is about 466.0155474437.

Adding to 101204825 its reverse (528402101), we get a palindrome (629606926).

The spelling of 101204825 in words is "one hundred one million, two hundred four thousand, eight hundred twenty-five".