105332154102 has 216 divisors, whose sum is σ = 283154109264. Its totient is φ = 28153052928.

The previous prime is 105332154023. The next prime is 105332154197. The reversal of 105332154102 is 201451233501.

105332154102 is a `hidden beast` number, since 1 + 0 + 5 + 33 + 215 + 410 + 2 = 666.

It is a super-2 number, since 2×105332154102² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 336524298 + ... + 336524610.

It is an arithmetic number, because the mean of its divisors is an integer number (1310898654).

Almost surely, 2^105332154102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105332154102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141577054632).

105332154102 is an abundant number, since it is smaller than the sum of its proper divisors (177821955162).

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

105332154102 is a wasteful number, since it uses less digits than its factorization.

105332154102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105332154102 its reverse (201451233501), we get a palindrome (306783387603).

The spelling of 105332154102 in words is "one hundred five billion, three hundred thirty-two million, one hundred fifty-four thousand, one hundred two".