106126455748992 has 512 divisors, whose sum is σ = 327596451840000. Its totient is φ = 29816789409792.

The previous prime is 106126455748961. The next prime is 106126455749011. The reversal of 106126455748992 is 299847554621601.

It is a super-2 number, since 2×106126455748992² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15990121098 + ... + 15990127734.

It is an arithmetic number, because the mean of its divisors is an integer number (639836820000).

Almost surely, 2^{106126455748992} is an apocalyptic number.

106126455748992 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 106126455748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163798225920000).

106126455748992 is an abundant number, since it is smaller than the sum of its proper divisors (221469996091008).

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

106126455748992 is a wasteful number, since it uses less digits than its factorization.

106126455748992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7206 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 106126455748992 in words is "one hundred six trillion, one hundred twenty-six billion, four hundred fifty-five million, seven hundred forty-eight thousand, nine hundred ninety-two".