106146621077355 has 24 divisors (see below), whose sum is σ = 184240554275232. Its totient is φ = 56533661167104.

The previous prime is 106146621077353. The next prime is 106146621077407. The reversal of 106146621077355 is 553770126641601.

106146621077355 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 4 + 6 + 6 + 210 + 77 + 355 = 666.

It is not a de Polignac number, because 106146621077355 - 2¹ = 106146621077353 is a prime.

It is a super-2 number, since 2×106146621077355² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106146621077353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1622260134 + ... + 1622325563.

It is an arithmetic number, because the mean of its divisors is an integer number (7676689761468).

Almost surely, 2^{106146621077355} is an apocalyptic number.

106146621077355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106146621077355 is a deficient number, since it is larger than the sum of its proper divisors (78093933197877).

106146621077355 is a wasteful number, since it uses less digits than its factorization.

106146621077355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244586435 (or 3244586432 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 106146621077355 in words is "one hundred six trillion, one hundred forty-six billion, six hundred twenty-one million, seventy-seven thousand, three hundred fifty-five".