100527046465000 has 80 divisors (see below), whose sum is σ = 236768038974720. Its totient is φ = 40000290360000.

The previous prime is 100527046464989. The next prime is 100527046465003. The reversal of 100527046465000 is 564640725001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (100527046465003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51676962 + ... + 53586961.

It is an arithmetic number, because the mean of its divisors is an integer number (2959600487184).

Almost surely, 2^{100527046465000} is an apocalyptic number.

100527046465000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100527046465000 is an abundant number, since it is smaller than the sum of its proper divisors (136240992509720).

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

100527046465000 is a wasteful number, since it uses less digits than its factorization.

100527046465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105264140 (or 105264121 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 100527046465000 in words is "one hundred trillion, five hundred twenty-seven billion, forty-six million, four hundred sixty-five thousand".