105306701500 has 192 divisors, whose sum is σ = 308799009792. Its totient is φ = 30297888000.

The previous prime is 105306701431. The next prime is 105306701531. The reversal of 105306701500 is 5107603501.

It is a super-2 number, since 2×105306701500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395299 + ... + 605701.

It is an arithmetic number, because the mean of its divisors is an integer number (1608328176).

Almost surely, 2^105306701500 is an apocalyptic number.

105306701500 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 105306701500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154399504896).

105306701500 is an abundant number, since it is smaller than the sum of its proper divisors (203492308292).

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

105306701500 is a wasteful number, since it uses less digits than its factorization.

105306701500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210453 (or 210441 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The spelling of 105306701500 in words is "one hundred five billion, three hundred six million, seven hundred one thousand, five hundred".