101123040 has 96 divisors (see below), whose sum is σ = 320495616. Its totient is φ = 26800640.

The previous prime is 101123027. The next prime is 101123059. The reversal of 101123040 is 40321101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91129 + ... + 92231.

It is an arithmetic number, because the mean of its divisors is an integer number (3338496).

Almost surely, 2^101123040 is an apocalyptic number.

101123040 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 101123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160247808).

101123040 is an abundant number, since it is smaller than the sum of its proper divisors (219372576).

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

101123040 is a wasteful number, since it uses less digits than its factorization.

101123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101123040 is about 10055.9952267292. The cubic root of 101123040 is about 465.8899824399.

Adding to 101123040 its reverse (40321101), we get a palindrome (141444141).

The spelling of 101123040 in words is "one hundred one million, one hundred twenty-three thousand, forty".