106351603655100 has 144 divisors (see below), whose sum is σ = 317651755653120. Its totient is φ = 27444281990400.

The previous prime is 106351603655093. The next prime is 106351603655113. The reversal of 106351603655100 is 1556306153601.

It is a super-4 number, since 4×106351603655100⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205578561 + ... + 206095239.

Almost surely, 2^{106351603655100} is an apocalyptic number.

106351603655100 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 106351603655100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158825877826560).

106351603655100 is an abundant number, since it is smaller than the sum of its proper divisors (211300151998020).

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

106351603655100 is a wasteful number, since it uses less digits than its factorization.

106351603655100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538860 (or 538853 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 106351603655100 in words is "one hundred six trillion, three hundred fifty-one billion, six hundred three million, six hundred fifty-five thousand, one hundred".