105355661532 has 48 divisors (see below), whose sum is σ = 268556534400. Its totient is φ = 31880900160.

The previous prime is 105355661513. The next prime is 105355661639. The reversal of 105355661532 is 235166553501.

It is a super-2 number, since 2×105355661532² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469282 + ... + 656457.

It is an arithmetic number, because the mean of its divisors is an integer number (5594927800).

Almost surely, 2^105355661532 is an apocalyptic number.

105355661532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105355661532 is an abundant number, since it is smaller than the sum of its proper divisors (163200872868).

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

105355661532 is a wasteful number, since it uses less digits than its factorization.

105355661532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126466 (or 1126464 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 105355661532 in words is "one hundred five billion, three hundred fifty-five million, six hundred sixty-one thousand, five hundred thirty-two".