105551352340 has 48 divisors (see below), whose sum is σ = 253342801152. Its totient is φ = 36186241536.

The previous prime is 105551352329. The next prime is 105551352349. The reversal of 105551352340 is 43253155501.

It is a super-2 number, since 2×105551352340² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105551352296 and 105551352305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105551352349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705452 + ... + 2744188.

It is an arithmetic number, because the mean of its divisors is an integer number (5277975024).

Almost surely, 2^105551352340 is an apocalyptic number.

105551352340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105551352340 is an abundant number, since it is smaller than the sum of its proper divisors (147791448812).

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

105551352340 is a wasteful number, since it uses less digits than its factorization.

105551352340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58216 (or 58214 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 105551352340 in words is "one hundred five billion, five hundred fifty-one million, three hundred fifty-two thousand, three hundred forty".