106150010000712 has 128 divisors (see below), whose sum is σ = 282217044447360. Its totient is φ = 33156046356480.

The previous prime is 106150010000711. The next prime is 106150010000767. The reversal of 106150010000712 is 217000010051601.

It is a super-2 number, since 2×106150010000712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106150010000711) 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, 428881348 + ... + 429128780.

It is an arithmetic number, because the mean of its divisors is an integer number (2204820659745).

Almost surely, 2^{106150010000712} is an apocalyptic number.

106150010000712 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 106150010000712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141108522223680).

106150010000712 is an abundant number, since it is smaller than the sum of its proper divisors (176067034446648).

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

106150010000712 is a wasteful number, since it uses less digits than its factorization.

106150010000712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252063 (or 252059 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 106150010000712 in words is "one hundred six trillion, one hundred fifty billion, ten million, seven hundred twelve", and thus it is an aban number.