106401352503144 has 64 divisors (see below), whose sum is σ = 280034068392000. Its totient is φ = 33596766005760.

The previous prime is 106401352503143. The next prime is 106401352503209. The reversal of 106401352503144 is 441305253104601.

It is a super-2 number, since 2×106401352503144² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106401352503143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8521029 + ... + 16894100.

It is an arithmetic number, because the mean of its divisors is an integer number (4375532318625).

Almost surely, 2^{106401352503144} is an apocalyptic number.

It is an amenable number.

106401352503144 is an abundant number, since it is smaller than the sum of its proper divisors (173632715888856).

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

106401352503144 is a wasteful number, since it uses less digits than its factorization.

106401352503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25424338 (or 25424334 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 106401352503144 in words is "one hundred six trillion, four hundred one billion, three hundred fifty-two million, five hundred three thousand, one hundred forty-four".