105136153500 has 192 divisors, whose sum is σ = 355631238144. Its totient is φ = 23637024000.

The previous prime is 105136153483. The next prime is 105136153501. The reversal of 105136153500 is 5351631501.

It is a super-2 number, since 2×105136153500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105136153501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558427 + ... + 722573.

It is an arithmetic number, because the mean of its divisors is an integer number (1852246032).

Almost surely, 2^105136153500 is an apocalyptic number.

105136153500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105136153500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177815619072).

105136153500 is an abundant number, since it is smaller than the sum of its proper divisors (250495084644).

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

105136153500 is a wasteful number, since it uses less digits than its factorization.

105136153500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164237 (or 164225 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 105136153500 in words is "one hundred five billion, one hundred thirty-six million, one hundred fifty-three thousand, five hundred".