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105445145232 = 24327104608279
BaseRepresentation
bin110001000110100000…
…1010011101010010000
3101002011122122101021100
41202031001103222100
53211422424121412
6120235115224400
710422012642330
oct1421501235220
9332148571240
10105445145232
11407a0043329
1218529448100
139c3595837b
1451642b90c0
152b222c0edc
hex188d053a90

105445145232 has 60 divisors (see below), whose sum is σ = 337257094720. Its totient is φ = 30127184064.

The previous prime is 105445145231. The next prime is 105445145287. The reversal of 105445145232 is 232541544501.

105445145232 is a `hidden beast` number, since 1 + 0 + 544 + 51 + 45 + 23 + 2 = 666.

It is a super-2 number, since 2×1054451452322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105445145231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52303132 + ... + 52305147.

Almost surely, 2105445145232 is an apocalyptic number.

105445145232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105445145232 is an abundant number, since it is smaller than the sum of its proper divisors (231811949488).

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

105445145232 is a wasteful number, since it uses less digits than its factorization.

105445145232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104608300 (or 104608291 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 105445145232 its reverse (232541544501), we get a palindrome (337986689733).

The spelling of 105445145232 in words is "one hundred five billion, four hundred forty-five million, one hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 104608279 209216558 313824837 418433116 627649674 732257953 836866232 941474511 1255299348 1464515906 1673732464 1882949022 2196773859 2510598696 2929031812 3765898044 4393547718 5021197392 5858063624 6590321577 7531796088 8787095436 11716127248 13180643154 15063592176 17574190872 26361286308 35148381744 52722572616 105445145232