105401343630 has 128 divisors (see below), whose sum is σ = 280529174016. Its totient is φ = 25132032000.

The previous prime is 105401343623. The next prime is 105401343637. The reversal of 105401343630 is 36343104501.

It is an interprime number because it is at equal distance from previous prime (105401343623) and next prime (105401343637).

It is a super-2 number, since 2×105401343630² (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 (105401343637) 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, 5207530 + ... + 5227730.

It is an arithmetic number, because the mean of its divisors is an integer number (2191634172).

Almost surely, 2^105401343630 is an apocalyptic number.

105401343630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105401343630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140264587008).

105401343630 is an abundant number, since it is smaller than the sum of its proper divisors (175127830386).

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

105401343630 is a wasteful number, since it uses less digits than its factorization.

105401343630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20482.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 105401343630 in words is "one hundred five billion, four hundred one million, three hundred forty-three thousand, six hundred thirty".