106012146440634 has 64 divisors (see below), whose sum is σ = 247267942272000. Its totient is φ = 30288046467504.

The previous prime is 106012146440633. The next prime is 106012146440677. The reversal of 106012146440634 is 436044641210601.

It is a happy number.

It is a super-2 number, since 2×106012146440634² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106012146440633) 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, 54584857 + ... + 56493635.

It is an arithmetic number, because the mean of its divisors is an integer number (3863561598000).

Almost surely, 2^{106012146440634} is an apocalyptic number.

106012146440634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106012146440634 is an abundant number, since it is smaller than the sum of its proper divisors (141255795831366).

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

106012146440634 is a wasteful number, since it uses less digits than its factorization.

106012146440634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935792 (or 1935778 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 106012146440634 in words is "one hundred six trillion, twelve billion, one hundred forty-six million, four hundred forty thousand, six hundred thirty-four".