106700087424 has 256 divisors, whose sum is σ = 335509954560. Its totient is φ = 29400883200.

The previous prime is 106700087423. The next prime is 106700087479. The reversal of 106700087424 is 424780007601.

It is a super-2 number, since 2×106700087424² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106700087423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26079619 + ... + 26083709.

It is an arithmetic number, because the mean of its divisors is an integer number (1310585760).

Almost surely, 2^106700087424 is an apocalyptic number.

106700087424 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 106700087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167754977280).

106700087424 is an abundant number, since it is smaller than the sum of its proper divisors (228809867136).

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

106700087424 is a wasteful number, since it uses less digits than its factorization.

106700087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 106700087424 in words is "one hundred six billion, seven hundred million, eighty-seven thousand, four hundred twenty-four".