101215104 has 128 divisors (see below), whose sum is σ = 284580000. Its totient is φ = 31825920.

The previous prime is 101215099. The next prime is 101215129. The reversal of 101215104 is 401512101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679222 + ... + 679370.

Almost surely, 2^101215104 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 101215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142290000).

101215104 is an abundant number, since it is smaller than the sum of its proper divisors (183364896).

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

101215104 is a wasteful number, since it uses less digits than its factorization.

101215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 101215104 is about 10060.5717531361. The cubic root of 101215104 is about 466.0313240685.

Adding to 101215104 its reverse (401512101), we get a palindrome (502727205).

It can be divided in two parts, 10121 and 5104, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 101215104 in words is "one hundred one million, two hundred fifteen thousand, one hundred four".