101034880 has 32 divisors (see below), whose sum is σ = 241538040. Its totient is φ = 40413696.

The previous prime is 101034851. The next prime is 101034937. The reversal of 101034880 is 88430101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101034880² = 20416093953228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78294 + ... + 79573.

Almost surely, 2^101034880 is an apocalyptic number.

101034880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101034880 is an abundant number, since it is smaller than the sum of its proper divisors (140503160).

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

101034880 is an equidigital number, since it uses as much as digits as its factorization.

101034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157886 (or 157874 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 101034880 is about 10051.6108161826. The cubic root of 101034880 is about 465.7545540135.

Adding to 101034880 its reverse (88430101), we get a palindrome (189464981).

The spelling of 101034880 in words is "one hundred one million, thirty-four thousand, eight hundred eighty".