101110680 has 160 divisors (see below), whose sum is σ = 370869840. Its totient is φ = 24503040.

The previous prime is 101110663. The next prime is 101110687. The reversal of 101110680 is 86011101.

It is a super-2 number, since 2×101110680² = 20446739220124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34222 + ... + 37058.

Almost surely, 2^101110680 is an apocalyptic number.

101110680 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 101110680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185434920).

101110680 is an abundant number, since it is smaller than the sum of its proper divisors (269759160).

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

101110680 is a wasteful number, since it uses less digits than its factorization.

101110680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 101110680 is about 10055.3806491848. The cubic root of 101110680 is about 465.8710001690.

Adding to 101110680 its reverse (86011101), we get a palindrome (187121781).

The spelling of 101110680 in words is "one hundred one million, one hundred ten thousand, six hundred eighty".