105129639780 has 192 divisors, whose sum is σ = 325357240320. Its totient is φ = 25152192000.

The previous prime is 105129639779. The next prime is 105129639781. The reversal of 105129639780 is 87936921501.

It is an interprime number because it is at equal distance from previous prime (105129639779) and next prime (105129639781).

It is a super-2 number, since 2×105129639780² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105129639781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15643261 + ... + 15649979.

It is an arithmetic number, because the mean of its divisors is an integer number (1694568960).

Almost surely, 2^105129639780 is an apocalyptic number.

105129639780 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 105129639780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162678620160).

105129639780 is an abundant number, since it is smaller than the sum of its proper divisors (220227600540).

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

105129639780 is a wasteful number, since it uses less digits than its factorization.

105129639780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 105129639780 in words is "one hundred five billion, one hundred twenty-nine million, six hundred thirty-nine thousand, seven hundred eighty".