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106377832 = 23111916329
BaseRepresentation
bin1100101011100…
…11001001101000
321102011112221201
412111303021220
5204213042312
614320013544
72431124311
oct625631150
9242145851
10106377832
1155058270
122b7612b4
1319067782
14101b1608
159514557
hex6573268

106377832 has 32 divisors (see below), whose sum is σ = 218764800. Its totient is φ = 48092800.

The previous prime is 106377811. The next prime is 106377841. The reversal of 106377832 is 238773601.

It is a super-2 number, since 2×1063778322 = 22632486282040448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106377791 and 106377800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13644 + ... + 19972.

It is an arithmetic number, because the mean of its divisors is an integer number (6836400).

Almost surely, 2106377832 is an apocalyptic number.

It is an amenable number.

106377832 is an abundant number, since it is smaller than the sum of its proper divisors (112386968).

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

106377832 is a wasteful number, since it uses less digits than its factorization.

106377832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 106377832 is about 10313.9629628965. The cubic root of 106377832 is about 473.8239894371.

The spelling of 106377832 in words is "one hundred six million, three hundred seventy-seven thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 191 382 764 1528 2101 4202 6329 8404 12658 16808 25316 50632 69619 139238 278476 556952 1208839 2417678 4835356 9670712 13297229 26594458 53188916 106377832