101145000 has 160 divisors (see below), whose sum is σ = 345264480. Its totient is φ = 24480000.

The previous prime is 101144983. The next prime is 101145047. The reversal of 101145000 is 541101.

It is a happy number.

It is a super-2 number, since 2×101145000² = 20460622050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164694 + ... + 165306.

It is an arithmetic number, because the mean of its divisors is an integer number (2157903).

Almost surely, 2^101145000 is an apocalyptic number.

101145000 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 101145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172632240).

101145000 is an abundant number, since it is smaller than the sum of its proper divisors (244119480).

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

101145000 is a wasteful number, since it uses less digits than its factorization.

101145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101145000 is about 10057.0870534166. The cubic root of 101145000 is about 465.9237044071.

Adding to 101145000 its reverse (541101), we get a palindrome (101686101).

The spelling of 101145000 in words is "one hundred one million, one hundred forty-five thousand".