106105515152 has 80 divisors (see below), whose sum is σ = 253885416960. Its totient is φ = 41832377856.

The previous prime is 106105515091. The next prime is 106105515157. The reversal of 106105515152 is 251515501601.

It is a super-2 number, since 2×106105515152² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105515157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302249 + ... + 550967.

It is an arithmetic number, because the mean of its divisors is an integer number (3173567712).

Almost surely, 2^106105515152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106105515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126942708480).

106105515152 is an abundant number, since it is smaller than the sum of its proper divisors (147779901808).

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

106105515152 is a wasteful number, since it uses less digits than its factorization.

106105515152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249040 (or 249034 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 32.

The spelling of 106105515152 in words is "one hundred six billion, one hundred five million, five hundred fifteen thousand, one hundred fifty-two".