105105746000 has 80 divisors (see below), whose sum is σ = 254219853888. Its totient is φ = 42030032000.

The previous prime is 105105745933. The next prime is 105105746017. The reversal of 105105746000 is 647501501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105105746000² (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, 10336919 + ... + 10347081.

Almost surely, 2^105105746000 is an apocalyptic number.

105105746000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105746000 is an abundant number, since it is smaller than the sum of its proper divisors (149114107888).

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

105105746000 is a wasteful number, since it uses less digits than its factorization.

105105746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15357 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 105105746000 in words is "one hundred five billion, one hundred five million, seven hundred forty-six thousand".