107011000 has 64 divisors (see below), whose sum is σ = 252888480. Its totient is φ = 42380800.

The previous prime is 107010979. The next prime is 107011031. The reversal of 107011000 is 110701.

It is a super-2 number, since 2×107011000² = 22902708242000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112527 + ... + 113473.

Almost surely, 2^107011000 is an apocalyptic number.

107011000 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 107011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126444240).

107011000 is an abundant number, since it is smaller than the sum of its proper divisors (145877480).

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

107011000 is a wasteful number, since it uses less digits than its factorization.

107011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

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

The square root of 107011000 is about 10344.6121241930. The cubic root of 107011000 is about 474.7622078473.

Adding to 107011000 its reverse (110701), we get a palindrome (107121701).

The spelling of 107011000 in words is "one hundred seven million, eleven thousand".