101071000 has 64 divisors (see below), whose sum is σ = 241094880. Its totient is φ = 39644800.

The previous prime is 101070979. The next prime is 101071007. The reversal of 101071000 is 170101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101071007) 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, 52047 + ... + 53953.

Almost surely, 2^101071000 is an apocalyptic number.

101071000 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 101071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120547440).

101071000 is an abundant number, since it is smaller than the sum of its proper divisors (140023880).

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

101071000 is a wasteful number, since it uses less digits than its factorization.

101071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 101071000 is about 10053.4073825743. The cubic root of 101071000 is about 465.8100498651.

It can be divided in two parts, 1010 and 71000, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 101071000 in words is "one hundred one million, seventy-one thousand".