105155016600 has 48 divisors (see below), whose sum is σ = 325980553320. Its totient is φ = 28041337600.

The previous prime is 105155016599. The next prime is 105155016619. The reversal of 105155016600 is 6610551501.

It is a super-2 number, since 2×105155016600² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87628581 + ... + 87629780.

Almost surely, 2^105155016600 is an apocalyptic number.

105155016600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105155016600 is an abundant number, since it is smaller than the sum of its proper divisors (220825536720).

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

105155016600 is a wasteful number, since it uses less digits than its factorization.

105155016600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175258380 (or 175258371 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105155016600 in words is "one hundred five billion, one hundred fifty-five million, sixteen thousand, six hundred".