106354463633220 has 96 divisors (see below), whose sum is σ = 333644666334336. Its totient is φ = 25086065126400.

The previous prime is 106354463633191. The next prime is 106354463633221. The reversal of 106354463633220 is 22336364453601.

It is a super-2 number, since 2×106354463633220² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106354463633220.

It is not an unprimeable number, because it can be changed into a prime (106354463633221) 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, 2177585401 + ... + 2177634240.

It is an arithmetic number, because the mean of its divisors is an integer number (3475465274316).

Almost surely, 2^{106354463633220} is an apocalyptic number.

106354463633220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106354463633220 is an abundant number, since it is smaller than the sum of its proper divisors (227290202701116).

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

106354463633220 is a wasteful number, since it uses less digits than its factorization.

106354463633220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355219701 (or 4355219699 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 106354463633220 in words is "one hundred six trillion, three hundred fifty-four billion, four hundred sixty-three million, six hundred thirty-three thousand, two hundred twenty".