101545714000 has 80 divisors (see below), whose sum is σ = 245868120576. Its totient is φ = 40563600000.

The previous prime is 101545713979. The next prime is 101545714003. The reversal of 101545714000 is 417545101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101545714000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101545714003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468197 + ... + 1535803.

Almost surely, 2^101545714000 is an apocalyptic number.

101545714000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101545714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122934060288).

101545714000 is an abundant number, since it is smaller than the sum of its proper divisors (144322406576).

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

101545714000 is an equidigital number, since it uses as much as digits as its factorization.

101545714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68381 (or 68365 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The spelling of 101545714000 in words is "one hundred one billion, five hundred forty-five million, seven hundred fourteen thousand".