101811072 has 64 divisors (see below), whose sum is σ = 295032960. Its totient is φ = 30850560.

The previous prime is 101811067. The next prime is 101811091. The reversal of 101811072 is 270118101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7828 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (4609890).

Almost surely, 2^101811072 is an apocalyptic number.

101811072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101811072 is an abundant number, since it is smaller than the sum of its proper divisors (193221888).

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

101811072 is a wasteful number, since it uses less digits than its factorization.

101811072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24131 (or 24119 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 101811072 is about 10090.1472734544. The cubic root of 101811072 is about 466.9442194716.

Adding to 101811072 its reverse (270118101), we get a palindrome (371929173).

It can be divided in two parts, 1018 and 11072, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 101811072 in words is "one hundred one million, eight hundred eleven thousand, seventy-two".