106016121520 has 80 divisors (see below), whose sum is σ = 253400352768. Its totient is φ = 41229100800.

The previous prime is 106016121503. The next prime is 106016121521. The reversal of 106016121520 is 25121610601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106016121520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106016121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474397 + ... + 661123.

Almost surely, 2^106016121520 is an apocalyptic number.

106016121520 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 106016121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126700176384).

106016121520 is an abundant number, since it is smaller than the sum of its proper divisors (147384231248).

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

106016121520 is a wasteful number, since it uses less digits than its factorization.

106016121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186938 (or 186932 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 106016121520 in words is "one hundred six billion, sixteen million, one hundred twenty-one thousand, five hundred twenty".