105145270000 has 100 divisors (see below), whose sum is σ = 254968365256. Its totient is φ = 41991840000.

The previous prime is 105145269979. The next prime is 105145270031. The reversal of 105145270000 is 72541501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×105145270000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6602047 + ... + 6617953.

Almost surely, 2^105145270000 is an apocalyptic number.

105145270000 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 105145270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127484182628).

105145270000 is an abundant number, since it is smaller than the sum of its proper divisors (149823095256).

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

105145270000 is an equidigital number, since it uses as much as digits as its factorization.

105145270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16596 (or 16575 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 105145270000 in words is "one hundred five billion, one hundred forty-five million, two hundred seventy thousand".