107101000 has 32 divisors (see below), whose sum is σ = 250618680. Its totient is φ = 42840000.

The previous prime is 107100953. The next prime is 107101019. The reversal of 107101000 is 101701.

It can be written as a sum of positive squares in 4 ways, for example, as 7540516 + 99560484 = 2746^2 + 9978^2 .

It is a super-2 number, since 2×107101000² = 22941248402000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52551 + ... + 54550.

Almost surely, 2^107101000 is an apocalyptic number.

107101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107101000 is an abundant number, since it is smaller than the sum of its proper divisors (143517680).

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

107101000 is a wasteful number, since it uses less digits than its factorization.

107101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107122 (or 107108 counting only the distinct ones).

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

The square root of 107101000 is about 10348.9613005364. The cubic root of 107101000 is about 474.8952677681.

Adding to 107101000 its reverse (101701), we get a palindrome (107202701).

The spelling of 107101000 in words is "one hundred seven million, one hundred one thousand".