106142572512 has 576 divisors, whose sum is σ = 347841381888. Its totient is φ = 30523392000.

The previous prime is 106142572507. The next prime is 106142572639. The reversal of 106142572512 is 215275241601.

106142572512 is a `hidden beast` number, since 1 + 0 + 614 + 2 + 5 + 7 + 25 + 12 = 666.

It is a super-2 number, since 2×106142572512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230243962 + ... + 230244422.

It is an arithmetic number, because the mean of its divisors is an integer number (603891288).

Almost surely, 2^106142572512 is an apocalyptic number.

106142572512 is a gapful number since it is divisible by the number (12) 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 106142572512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173920690944).

106142572512 is an abundant number, since it is smaller than the sum of its proper divisors (241698809376).

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

106142572512 is a wasteful number, since it uses less digits than its factorization.

106142572512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 106142572512 in words is "one hundred six billion, one hundred forty-two million, five hundred seventy-two thousand, five hundred twelve".