106126148496240 has 480 divisors, whose sum is σ = 388874641858560. Its totient is φ = 25838266982400.

The previous prime is 106126148496233. The next prime is 106126148496257. The reversal of 106126148496240 is 42694841621601.

106126148496240 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 6 + 1 + 4 + 8 + 4 + 9 + 624 + 0 = 666.

It is a super-2 number, since 2×106126148496240² (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 95 ways as a sum of consecutive naturals, for example, 101684089 + ... + 102722471.

It is an arithmetic number, because the mean of its divisors is an integer number (810155503872).

Almost surely, 2^{106126148496240} is an apocalyptic number.

106126148496240 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 106126148496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194437320929280).

106126148496240 is an abundant number, since it is smaller than the sum of its proper divisors (282748493362320).

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

106126148496240 is a wasteful number, since it uses less digits than its factorization.

106126148496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038693 (or 1038684 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 106126148496240 in words is "one hundred six trillion, one hundred twenty-six billion, one hundred forty-eight million, four hundred ninety-six thousand, two hundred forty".