105302114251000 has 128 divisors (see below), whose sum is σ = 248084601336000. Its totient is φ = 41834121868800.

The previous prime is 105302114250997. The next prime is 105302114251003. The reversal of 105302114251000 is 152411203501.

It is an interprime number because it is at equal distance from previous prime (105302114250997) and next prime (105302114251003).

It is a super-2 number, since 2×105302114251000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105302114251003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901659314 + ... + 1901714686.

Almost surely, 2^{105302114251000} is an apocalyptic number.

105302114251000 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 105302114251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124042300668000).

105302114251000 is an abundant number, since it is smaller than the sum of its proper divisors (142782487085000).

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

105302114251000 is a wasteful number, since it uses less digits than its factorization.

105302114251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68306 (or 68292 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 105302114251000 its reverse (152411203501), we get a palindrome (105454525454501).

The spelling of 105302114251000 in words is "one hundred five trillion, three hundred two billion, one hundred fourteen million, two hundred fifty-one thousand".