101135700 has 108 divisors (see below), whose sum is σ = 320375328. Its totient is φ = 26683200.

The previous prime is 101135677. The next prime is 101135711. The reversal of 101135700 is 7531101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92155 + ... + 93245.

Almost surely, 2^101135700 is an apocalyptic number.

101135700 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 101135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160187664).

101135700 is an abundant number, since it is smaller than the sum of its proper divisors (219239628).

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

101135700 is a wasteful number, since it uses less digits than its factorization.

101135700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 101135700 is about 10056.6246822679. The cubic root of 101135700 is about 465.9094238420.

Adding to 101135700 its reverse (7531101), we get a palindrome (108666801).

The spelling of 101135700 in words is "one hundred one million, one hundred thirty-five thousand, seven hundred".