101035800 has 72 divisors (see below), whose sum is σ = 339317940. Its totient is φ = 26942400.

The previous prime is 101035793. The next prime is 101035801. The reversal of 101035800 is 8530101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (101035801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26266 + ... + 29865.

Almost surely, 2^101035800 is an apocalyptic number.

101035800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101035800 is an abundant number, since it is smaller than the sum of its proper divisors (238282140).

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

101035800 is a wasteful number, since it uses less digits than its factorization.

101035800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56153 (or 56141 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101035800 is about 10051.6565798877. The cubic root of 101035800 is about 465.7559676932.

Adding to 101035800 its reverse (8530101), we get a palindrome (109565901).

The spelling of 101035800 in words is "one hundred one million, thirty-five thousand, eight hundred".