105420313532 has 24 divisors (see below), whose sum is σ = 188940765216. Its totient is φ = 51452126208.

The previous prime is 105420313489. The next prime is 105420313547. The reversal of 105420313532 is 235313024501.

It is a happy number.

It is a super-2 number, since 2×105420313532² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105420313495 and 105420313504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832648 + ... + 1889295.

It is an arithmetic number, because the mean of its divisors is an integer number (7872531884).

Almost surely, 2^105420313532 is an apocalyptic number.

It is an amenable number.

105420313532 is a deficient number, since it is larger than the sum of its proper divisors (83520451684).

105420313532 is a wasteful number, since it uses less digits than its factorization.

105420313532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722117 (or 3722115 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 105420313532 in words is "one hundred five billion, four hundred twenty million, three hundred thirteen thousand, five hundred thirty-two".