106601351024 has 120 divisors (see below), whose sum is σ = 249624938160. Its totient is φ = 43919404032.

The previous prime is 106601351023. The next prime is 106601351083. The reversal of 106601351024 is 420153106601.

It is a happy number.

It is a super-2 number, since 2×106601351024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106601351023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5287427 + ... + 5307549.

It is an arithmetic number, because the mean of its divisors is an integer number (2080207818).

Almost surely, 2^106601351024 is an apocalyptic number.

106601351024 is a gapful number since it is divisible by the number (14) 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 106601351024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124812469080).

106601351024 is an abundant number, since it is smaller than the sum of its proper divisors (143023587136).

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

106601351024 is a wasteful number, since it uses less digits than its factorization.

106601351024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407 (or 20394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 106601351024 its reverse (420153106601), we get a palindrome (526754457625).

The spelling of 106601351024 in words is "one hundred six billion, six hundred one million, three hundred fifty-one thousand, twenty-four".