101123064 has 72 divisors (see below), whose sum is σ = 318600360. Its totient is φ = 28891296.

The previous prime is 101123059. The next prime is 101123069. The reversal of 101123064 is 460321101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101123059) and next prime (101123069).

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

It is a super-3 number, since 3×101123064³ (a number of 25 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123069) 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, 10804 + ... + 17859.

It is an arithmetic number, because the mean of its divisors is an integer number (4425005).

Almost surely, 2^101123064 is an apocalyptic number.

101123064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101123064 is an abundant number, since it is smaller than the sum of its proper divisors (217477296).

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

101123064 is a wasteful number, since it uses less digits than its factorization.

101123064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28689 (or 28675 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101123064 is about 10055.9964200471. The cubic root of 101123064 is about 465.8900192971.

Adding to 101123064 its reverse (460321101), we get a palindrome (561444165).

The spelling of 101123064 in words is "one hundred one million, one hundred twenty-three thousand, sixty-four".