105101012304 has 120 divisors (see below), whose sum is σ = 299946864672. Its totient is φ = 34342813440.

The previous prime is 105101012299. The next prime is 105101012321. The reversal of 105101012304 is 403210101501.

It is a super-2 number, since 2×105101012304² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9847579 + ... + 9858245.

Almost surely, 2^105101012304 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 105101012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149973432336).

105101012304 is an abundant number, since it is smaller than the sum of its proper divisors (194845852368).

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

105101012304 is a wasteful number, since it uses less digits than its factorization.

105101012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 105101012304 its reverse (403210101501), we get a palindrome (508311113805).

The spelling of 105101012304 in words is "one hundred five billion, one hundred one million, twelve thousand, three hundred four".