106355122631044 has 243 divisors, whose sum is σ = 228306670304517. Its totient is φ = 43223927237568.

The previous prime is 106355122631039. The next prime is 106355122631063. The reversal of 106355122631044 is 440136221553601.

The square root of 106355122631044 is 10312862.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 95168024268100 + 11187098362944 = 9755410^2 + 3344712^2 .

It is a super-2 number, since 2×106355122631044² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 229708687957 + ... + 229708688419.

Almost surely, 2^{106355122631044} is an apocalyptic number.

106355122631044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106355122631044 is the 10312862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106355122631044

106355122631044 is an abundant number, since it is smaller than the sum of its proper divisors (121951547673473).

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

106355122631044 is an frugal number, since it uses more digits than its factorization.

106355122631044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 106355122631044 in words is "one hundred six trillion, three hundred fifty-five billion, one hundred twenty-two million, six hundred thirty-one thousand, forty-four".