105162471146100 has 36 divisors (see below), whose sum is σ = 304270083183584. Its totient is φ = 28043325638880.

The previous prime is 105162471146039. The next prime is 105162471146107. The reversal of 105162471146100 is 1641174261501.

105162471146100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105162471146100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105162471146107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175270784944 + ... + 175270785543.

Almost surely, 2^{105162471146100} is an apocalyptic number.

105162471146100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105162471146100 is an abundant number, since it is smaller than the sum of its proper divisors (199107612037484).

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

105162471146100 is a wasteful number, since it uses less digits than its factorization.

105162471146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350541570504 (or 350541570497 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 105162471146100 in words is "one hundred five trillion, one hundred sixty-two billion, four hundred seventy-one million, one hundred forty-six thousand, one hundred".