10105189248 has 192 divisors, whose sum is σ = 34063528320. Its totient is φ = 2624670720.

The previous prime is 10105189231. The next prime is 10105189261. The reversal of 10105189248 is 84298150101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10105189248² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 182565 + ... + 231387.

It is an arithmetic number, because the mean of its divisors is an integer number (177414210).

Almost surely, 2^10105189248 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 10105189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031764160).

10105189248 is an abundant number, since it is smaller than the sum of its proper divisors (23958339072).

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

10105189248 is a wasteful number, since it uses less digits than its factorization.

10105189248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48865 (or 48846 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 10105189248 in words is "ten billion, one hundred five million, one hundred eighty-nine thousand, two hundred forty-eight".